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Finding the Third Proportional to 38,371,855,472 and 85,566,643,936

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Solution

The third proportional to 38,371,855,472 and 85,566,643,936 is: 190,807,832,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,371,855,472 : 85,566,643,936 = 85,566,643,936 : x
  2. Step 2: Convert to fraction form
    38,371,855,472/85,566,643,936 = 85,566,643,936/x
  3. Step 3: Cross multiply
    38,371,855,472x = 85,566,643,936 × 85,566,643,936
  4. Step 4: Simplify right side
    38,371,855,472x = 7,321,650,554,470,206,013,440
  5. Step 5: Solve for x
    x = 7,321,650,554,470,206,013,440/38,371,855,472
  6. Step 6: Final answer
    x = 190,807,832,053.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.