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Finding the Third Proportional to 3,689,108,489,828.40 and 8,116,025,774,280.80

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Solution

The third proportional to 3,689,108,489,828.40 and 8,116,025,774,280.80 is: 17,855,228,316,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689,108,489,828.40 : 8,116,025,774,280.80 = 8,116,025,774,280.80 : x
  2. Step 2: Convert to fraction form
    3,689,108,489,828.40/8,116,025,774,280.80 = 8,116,025,774,280.80/x
  3. Step 3: Cross multiply
    3,689,108,489,828.40x = 8,116,025,774,280.80 × 8,116,025,774,280.80
  4. Step 4: Simplify right side
    3,689,108,489,828.40x = 65,869,874,368,790,252,794,937,344
  5. Step 5: Solve for x
    x = 65,869,874,368,790,252,794,937,344/3,689,108,489,828.40
  6. Step 6: Final answer
    x = 17,855,228,316,111.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.