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Finding the Third Proportional to 410,448,677.63 and 636,082,441.88

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Solution

The third proportional to 410,448,677.63 and 636,082,441.88 is: 985,752,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448,677.63 : 636,082,441.88 = 636,082,441.88 : x
  2. Step 2: Convert to fraction form
    410,448,677.63/636,082,441.88 = 636,082,441.88/x
  3. Step 3: Cross multiply
    410,448,677.63x = 636,082,441.88 × 636,082,441.88
  4. Step 4: Simplify right side
    410,448,677.63x = 404,600,872,861,662,784
  5. Step 5: Solve for x
    x = 404,600,872,861,662,784/410,448,677.63
  6. Step 6: Final answer
    x = 985,752,652.93

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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.