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Finding the Third Proportional to 442,011,132 and 736,640,823.38

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Solution

The third proportional to 442,011,132 and 736,640,823.38 is: 1,227,660,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011,132 : 736,640,823.38 = 736,640,823.38 : x
  2. Step 2: Convert to fraction form
    442,011,132/736,640,823.38 = 736,640,823.38/x
  3. Step 3: Cross multiply
    442,011,132x = 736,640,823.38 × 736,640,823.38
  4. Step 4: Simplify right side
    442,011,132x = 542,639,702,662,597,952
  5. Step 5: Solve for x
    x = 542,639,702,662,597,952/442,011,132
  6. Step 6: Final answer
    x = 1,227,660,715.71

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.