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Finding the Third Proportional to 477,280,769 and 736,350,498.50

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Solution

The third proportional to 477,280,769 and 736,350,498.50 is: 1,136,044,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,280,769 : 736,350,498.50 = 736,350,498.50 : x
  2. Step 2: Convert to fraction form
    477,280,769/736,350,498.50 = 736,350,498.50/x
  3. Step 3: Cross multiply
    477,280,769x = 736,350,498.50 × 736,350,498.50
  4. Step 4: Simplify right side
    477,280,769x = 542,212,056,641,198,528
  5. Step 5: Solve for x
    x = 542,212,056,641,198,528/477,280,769
  6. Step 6: Final answer
    x = 1,136,044,215.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.