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Finding the Third Proportional to 10,511,428 and 22,663,592

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Solution

The third proportional to 10,511,428 and 22,663,592 is: 48,864,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511,428 : 22,663,592 = 22,663,592 : x
  2. Step 2: Convert to fraction form
    10,511,428/22,663,592 = 22,663,592/x
  3. Step 3: Cross multiply
    10,511,428x = 22,663,592 × 22,663,592
  4. Step 4: Simplify right side
    10,511,428x = 513,638,402,342,464
  5. Step 5: Solve for x
    x = 513,638,402,342,464/10,511,428
  6. Step 6: Final answer
    x = 48,864,759.61

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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.