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Finding the Third Proportional to 10,417,686.75 and 22,435,440.75

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Solution

The third proportional to 10,417,686.75 and 22,435,440.75 is: 48,316,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417,686.75 : 22,435,440.75 = 22,435,440.75 : x
  2. Step 2: Convert to fraction form
    10,417,686.75/22,435,440.75 = 22,435,440.75/x
  3. Step 3: Cross multiply
    10,417,686.75x = 22,435,440.75 × 22,435,440.75
  4. Step 4: Simplify right side
    10,417,686.75x = 503,349,001,646,760.56
  5. Step 5: Solve for x
    x = 503,349,001,646,760.56/10,417,686.75
  6. Step 6: Final answer
    x = 48,316,772.59

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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.