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Finding the Third Proportional to 10,299,553 and 22,368,847

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Solution

The third proportional to 10,299,553 and 22,368,847 is: 48,581,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,553 : 22,368,847 = 22,368,847 : x
  2. Step 2: Convert to fraction form
    10,299,553/22,368,847 = 22,368,847/x
  3. Step 3: Cross multiply
    10,299,553x = 22,368,847 × 22,368,847
  4. Step 4: Simplify right side
    10,299,553x = 500,365,316,109,409
  5. Step 5: Solve for x
    x = 500,365,316,109,409/10,299,553
  6. Step 6: Final answer
    x = 48,581,265.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.