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Finding the Third Proportional to 10,703,648 and 22,872,640

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Solution

The third proportional to 10,703,648 and 22,872,640 is: 48,876,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703,648 : 22,872,640 = 22,872,640 : x
  2. Step 2: Convert to fraction form
    10,703,648/22,872,640 = 22,872,640/x
  3. Step 3: Cross multiply
    10,703,648x = 22,872,640 × 22,872,640
  4. Step 4: Simplify right side
    10,703,648x = 523,157,660,569,600
  5. Step 5: Solve for x
    x = 523,157,660,569,600/10,703,648
  6. Step 6: Final answer
    x = 48,876,575.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.