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Finding the Third Proportional to 10,475,304.75 and 16,349,454

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Solution

The third proportional to 10,475,304.75 and 16,349,454 is: 25,517,600.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475,304.75 : 16,349,454 = 16,349,454 : x
  2. Step 2: Convert to fraction form
    10,475,304.75/16,349,454 = 16,349,454/x
  3. Step 3: Cross multiply
    10,475,304.75x = 16,349,454 × 16,349,454
  4. Step 4: Simplify right side
    10,475,304.75x = 267,304,646,098,116
  5. Step 5: Solve for x
    x = 267,304,646,098,116/10,475,304.75
  6. Step 6: Final answer
    x = 25,517,600.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.