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Finding the Third Proportional to 10,665,432 and 23,637,015

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Solution

The third proportional to 10,665,432 and 23,637,015 is: 52,384,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665,432 : 23,637,015 = 23,637,015 : x
  2. Step 2: Convert to fraction form
    10,665,432/23,637,015 = 23,637,015/x
  3. Step 3: Cross multiply
    10,665,432x = 23,637,015 × 23,637,015
  4. Step 4: Simplify right side
    10,665,432x = 558,708,478,110,225
  5. Step 5: Solve for x
    x = 558,708,478,110,225/10,665,432
  6. Step 6: Final answer
    x = 52,384,983.38

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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.