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Finding the Third Proportional to 257,908,056 and 566,482,831

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Solution

The third proportional to 257,908,056 and 566,482,831 is: 1,244,252,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,908,056 : 566,482,831 = 566,482,831 : x
  2. Step 2: Convert to fraction form
    257,908,056/566,482,831 = 566,482,831/x
  3. Step 3: Cross multiply
    257,908,056x = 566,482,831 × 566,482,831
  4. Step 4: Simplify right side
    257,908,056x = 320,902,797,817,774,592
  5. Step 5: Solve for x
    x = 320,902,797,817,774,592/257,908,056
  6. Step 6: Final answer
    x = 1,244,252,710.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.