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Finding the Third Proportional to 24,732,794 and 34,176,047

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Solution

The third proportional to 24,732,794 and 34,176,047 is: 47,224,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732,794 : 34,176,047 = 34,176,047 : x
  2. Step 2: Convert to fraction form
    24,732,794/34,176,047 = 34,176,047/x
  3. Step 3: Cross multiply
    24,732,794x = 34,176,047 × 34,176,047
  4. Step 4: Simplify right side
    24,732,794x = 1,168,002,188,546,209
  5. Step 5: Solve for x
    x = 1,168,002,188,546,209/24,732,794
  6. Step 6: Final answer
    x = 47,224,837.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.