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Finding the Third Proportional to 6,032,412 and 13,148,640

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Solution

The third proportional to 6,032,412 and 13,148,640 is: 28,659,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032,412 : 13,148,640 = 13,148,640 : x
  2. Step 2: Convert to fraction form
    6,032,412/13,148,640 = 13,148,640/x
  3. Step 3: Cross multiply
    6,032,412x = 13,148,640 × 13,148,640
  4. Step 4: Simplify right side
    6,032,412x = 172,886,733,849,600
  5. Step 5: Solve for x
    x = 172,886,733,849,600/6,032,412
  6. Step 6: Final answer
    x = 28,659,636.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.