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Finding the Third Proportional to 10,664,784 and 22,948,029

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Solution

The third proportional to 10,664,784 and 22,948,029 is: 49,378,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664,784 : 22,948,029 = 22,948,029 : x
  2. Step 2: Convert to fraction form
    10,664,784/22,948,029 = 22,948,029/x
  3. Step 3: Cross multiply
    10,664,784x = 22,948,029 × 22,948,029
  4. Step 4: Simplify right side
    10,664,784x = 526,612,034,984,841
  5. Step 5: Solve for x
    x = 526,612,034,984,841/10,664,784
  6. Step 6: Final answer
    x = 49,378,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.