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Finding the Third Proportional to 24,732,896 and 34,176,180

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Solution

The third proportional to 24,732,896 and 34,176,180 is: 47,225,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732,896 : 34,176,180 = 34,176,180 : x
  2. Step 2: Convert to fraction form
    24,732,896/34,176,180 = 34,176,180/x
  3. Step 3: Cross multiply
    24,732,896x = 34,176,180 × 34,176,180
  4. Step 4: Simplify right side
    24,732,896x = 1,168,011,279,392,400
  5. Step 5: Solve for x
    x = 1,168,011,279,392,400/24,732,896
  6. Step 6: Final answer
    x = 47,225,010.75

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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.