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Finding the Third Proportional to 410,448,680 and 636,082,445

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Solution

The third proportional to 410,448,680 and 636,082,445 is: 985,752,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448,680 : 636,082,445 = 636,082,445 : x
  2. Step 2: Convert to fraction form
    410,448,680/636,082,445 = 636,082,445/x
  3. Step 3: Cross multiply
    410,448,680x = 636,082,445 × 636,082,445
  4. Step 4: Simplify right side
    410,448,680x = 404,600,876,837,178,048
  5. Step 5: Solve for x
    x = 404,600,876,837,178,048/410,448,680
  6. Step 6: Final answer
    x = 985,752,656.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.