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Finding the Third Proportional to 15,231,768 and 32,971,440

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Solution

The third proportional to 15,231,768 and 32,971,440 is: 71,371,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231,768 : 32,971,440 = 32,971,440 : x
  2. Step 2: Convert to fraction form
    15,231,768/32,971,440 = 32,971,440/x
  3. Step 3: Cross multiply
    15,231,768x = 32,971,440 × 32,971,440
  4. Step 4: Simplify right side
    15,231,768x = 1,087,115,855,673,600
  5. Step 5: Solve for x
    x = 1,087,115,855,673,600/15,231,768
  6. Step 6: Final answer
    x = 71,371,613.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.