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Finding the Third Proportional to 10,439,766 and 22,999,464

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Solution

The third proportional to 10,439,766 and 22,999,464 is: 50,669,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439,766 : 22,999,464 = 22,999,464 : x
  2. Step 2: Convert to fraction form
    10,439,766/22,999,464 = 22,999,464/x
  3. Step 3: Cross multiply
    10,439,766x = 22,999,464 × 22,999,464
  4. Step 4: Simplify right side
    10,439,766x = 528,975,344,287,296
  5. Step 5: Solve for x
    x = 528,975,344,287,296/10,439,766
  6. Step 6: Final answer
    x = 50,669,272.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.