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Finding the Third Proportional to 10,417,694.50 and 22,435,460

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Solution

The third proportional to 10,417,694.50 and 22,435,460 is: 48,316,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417,694.50 : 22,435,460 = 22,435,460 : x
  2. Step 2: Convert to fraction form
    10,417,694.50/22,435,460 = 22,435,460/x
  3. Step 3: Cross multiply
    10,417,694.50x = 22,435,460 × 22,435,460
  4. Step 4: Simplify right side
    10,417,694.50x = 503,349,865,411,600
  5. Step 5: Solve for x
    x = 503,349,865,411,600/10,417,694.50
  6. Step 6: Final answer
    x = 48,316,819.56

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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.