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Finding the Third Proportional to 564,759,153 and 825,465,013.50

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Solution

The third proportional to 564,759,153 and 825,465,013.50 is: 1,206,518,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,759,153 : 825,465,013.50 = 825,465,013.50 : x
  2. Step 2: Convert to fraction form
    564,759,153/825,465,013.50 = 825,465,013.50/x
  3. Step 3: Cross multiply
    564,759,153x = 825,465,013.50 × 825,465,013.50
  4. Step 4: Simplify right side
    564,759,153x = 681,392,488,512,555,136
  5. Step 5: Solve for x
    x = 681,392,488,512,555,136/564,759,153
  6. Step 6: Final answer
    x = 1,206,518,716.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.