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Finding the Third Proportional to 10,432,269 and 22,407,102

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Solution

The third proportional to 10,432,269 and 22,407,102 is: 48,127,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,269 : 22,407,102 = 22,407,102 : x
  2. Step 2: Convert to fraction form
    10,432,269/22,407,102 = 22,407,102/x
  3. Step 3: Cross multiply
    10,432,269x = 22,407,102 × 22,407,102
  4. Step 4: Simplify right side
    10,432,269x = 502,078,220,038,404
  5. Step 5: Solve for x
    x = 502,078,220,038,404/10,432,269
  6. Step 6: Final answer
    x = 48,127,422.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.