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Finding the Third Proportional to 10,665,461 and 23,637,073

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Solution

The third proportional to 10,665,461 and 23,637,073 is: 52,385,098.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665,461 : 23,637,073 = 23,637,073 : x
  2. Step 2: Convert to fraction form
    10,665,461/23,637,073 = 23,637,073/x
  3. Step 3: Cross multiply
    10,665,461x = 23,637,073 × 23,637,073
  4. Step 4: Simplify right side
    10,665,461x = 558,711,220,007,329
  5. Step 5: Solve for x
    x = 558,711,220,007,329/10,665,461
  6. Step 6: Final answer
    x = 52,385,098.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.