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Finding the Third Proportional to 410,448,697 and 636,082,466

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Solution

The third proportional to 410,448,697 and 636,082,466 is: 985,752,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448,697 : 636,082,466 = 636,082,466 : x
  2. Step 2: Convert to fraction form
    410,448,697/636,082,466 = 636,082,466/x
  3. Step 3: Cross multiply
    410,448,697x = 636,082,466 × 636,082,466
  4. Step 4: Simplify right side
    410,448,697x = 404,600,903,552,641,152
  5. Step 5: Solve for x
    x = 404,600,903,552,641,152/410,448,697
  6. Step 6: Final answer
    x = 985,752,681.18

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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.