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Finding the Third Proportional to 47,097,792 and 63,613,289

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Solution

The third proportional to 47,097,792 and 63,613,289 is: 85,920,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097,792 : 63,613,289 = 63,613,289 : x
  2. Step 2: Convert to fraction form
    47,097,792/63,613,289 = 63,613,289/x
  3. Step 3: Cross multiply
    47,097,792x = 63,613,289 × 63,613,289
  4. Step 4: Simplify right side
    47,097,792x = 4,046,650,537,397,521
  5. Step 5: Solve for x
    x = 4,046,650,537,397,521/47,097,792
  6. Step 6: Final answer
    x = 85,920,175.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.