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Finding the Third Proportional to 577,564,704 and 1,247,199,832

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Solution

The third proportional to 577,564,704 and 1,247,199,832 is: 2,693,217,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,564,704 : 1,247,199,832 = 1,247,199,832 : x
  2. Step 2: Convert to fraction form
    577,564,704/1,247,199,832 = 1,247,199,832/x
  3. Step 3: Cross multiply
    577,564,704x = 1,247,199,832 × 1,247,199,832
  4. Step 4: Simplify right side
    577,564,704x = 1,555,507,420,940,828,160
  5. Step 5: Solve for x
    x = 1,555,507,420,940,828,160/577,564,704
  6. Step 6: Final answer
    x = 2,693,217,591.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.