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Finding the Third Proportional to 442,011,131 and 736,640,821.50

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Solution

The third proportional to 442,011,131 and 736,640,821.50 is: 1,227,660,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,011,131 : 736,640,821.50 = 736,640,821.50 : x
  2. Step 2: Convert to fraction form
    442,011,131/736,640,821.50 = 736,640,821.50/x
  3. Step 3: Cross multiply
    442,011,131x = 736,640,821.50 × 736,640,821.50
  4. Step 4: Simplify right side
    442,011,131x = 542,639,699,900,194,880
  5. Step 5: Solve for x
    x = 542,639,699,900,194,880/442,011,131
  6. Step 6: Final answer
    x = 1,227,660,712.24

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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.