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Finding the Third Proportional to 10,834,921 and 22,566,650

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Solution

The third proportional to 10,834,921 and 22,566,650 is: 47,001,144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,921 : 22,566,650 = 22,566,650 : x
  2. Step 2: Convert to fraction form
    10,834,921/22,566,650 = 22,566,650/x
  3. Step 3: Cross multiply
    10,834,921x = 22,566,650 × 22,566,650
  4. Step 4: Simplify right side
    10,834,921x = 509,253,692,222,500
  5. Step 5: Solve for x
    x = 509,253,692,222,500/10,834,921
  6. Step 6: Final answer
    x = 47,001,144.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.