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Finding the Third Proportional to 10,247,456 and 22,014,472

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Solution

The third proportional to 10,247,456 and 22,014,472 is: 47,293,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,247,456 : 22,014,472 = 22,014,472 : x
  2. Step 2: Convert to fraction form
    10,247,456/22,014,472 = 22,014,472/x
  3. Step 3: Cross multiply
    10,247,456x = 22,014,472 × 22,014,472
  4. Step 4: Simplify right side
    10,247,456x = 484,636,977,438,784
  5. Step 5: Solve for x
    x = 484,636,977,438,784/10,247,456
  6. Step 6: Final answer
    x = 47,293,394.33

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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.