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Finding the Third Proportional to 10,834,966 and 22,566,743

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Solution

The third proportional to 10,834,966 and 22,566,743 is: 47,001,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,966 : 22,566,743 = 22,566,743 : x
  2. Step 2: Convert to fraction form
    10,834,966/22,566,743 = 22,566,743/x
  3. Step 3: Cross multiply
    10,834,966x = 22,566,743 × 22,566,743
  4. Step 4: Simplify right side
    10,834,966x = 509,257,889,628,049
  5. Step 5: Solve for x
    x = 509,257,889,628,049/10,834,966
  6. Step 6: Final answer
    x = 47,001,337.12

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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.