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Finding the Third Proportional to 484,102,876.50 and 726,650,034.75

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Solution

The third proportional to 484,102,876.50 and 726,650,034.75 is: 1,090,719,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,102,876.50 : 726,650,034.75 = 726,650,034.75 : x
  2. Step 2: Convert to fraction form
    484,102,876.50/726,650,034.75 = 726,650,034.75/x
  3. Step 3: Cross multiply
    484,102,876.50x = 726,650,034.75 × 726,650,034.75
  4. Step 4: Simplify right side
    484,102,876.50x = 528,020,273,002,176,192
  5. Step 5: Solve for x
    x = 528,020,273,002,176,192/484,102,876.50
  6. Step 6: Final answer
    x = 1,090,719,139.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.