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Finding the Third Proportional to 257,171,622 and 564,287,610

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Solution

The third proportional to 257,171,622 and 564,287,610 is: 1,238,163,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,171,622 : 564,287,610 = 564,287,610 : x
  2. Step 2: Convert to fraction form
    257,171,622/564,287,610 = 564,287,610/x
  3. Step 3: Cross multiply
    257,171,622x = 564,287,610 × 564,287,610
  4. Step 4: Simplify right side
    257,171,622x = 318,420,506,799,512,128
  5. Step 5: Solve for x
    x = 318,420,506,799,512,128/257,171,622
  6. Step 6: Final answer
    x = 1,238,163,465.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.