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Finding the Third Proportional to 10,834,416 and 23,202,889.88

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Solution

The third proportional to 10,834,416 and 23,202,889.88 is: 49,691,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,416 : 23,202,889.88 = 23,202,889.88 : x
  2. Step 2: Convert to fraction form
    10,834,416/23,202,889.88 = 23,202,889.88/x
  3. Step 3: Cross multiply
    10,834,416x = 23,202,889.88 × 23,202,889.88
  4. Step 4: Simplify right side
    10,834,416x = 538,374,098,551,377.50
  5. Step 5: Solve for x
    x = 538,374,098,551,377.50/10,834,416
  6. Step 6: Final answer
    x = 49,691,104.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.