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Finding the Third Proportional to 3,156,631,624 and 4,413,156,795

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Solution

The third proportional to 3,156,631,624 and 4,413,156,795 is: 6,169,852,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,631,624 : 4,413,156,795 = 4,413,156,795 : x
  2. Step 2: Convert to fraction form
    3,156,631,624/4,413,156,795 = 4,413,156,795/x
  3. Step 3: Cross multiply
    3,156,631,624x = 4,413,156,795 × 4,413,156,795
  4. Step 4: Simplify right side
    3,156,631,624x = 19,475,952,897,254,670,336
  5. Step 5: Solve for x
    x = 19,475,952,897,254,670,336/3,156,631,624
  6. Step 6: Final answer
    x = 6,169,852,937.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.