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Finding the Third Proportional to 4,301,982,663 and 9,257,737,605

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Solution

The third proportional to 4,301,982,663 and 9,257,737,605 is: 19,922,373,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301,982,663 : 9,257,737,605 = 9,257,737,605 : x
  2. Step 2: Convert to fraction form
    4,301,982,663/9,257,737,605 = 9,257,737,605/x
  3. Step 3: Cross multiply
    4,301,982,663x = 9,257,737,605 × 9,257,737,605
  4. Step 4: Simplify right side
    4,301,982,663x = 85,705,705,563,031,142,400
  5. Step 5: Solve for x
    x = 85,705,705,563,031,142,400/4,301,982,663
  6. Step 6: Final answer
    x = 19,922,373,537.24

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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.