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Finding the Third Proportional to 257,908,068 and 566,482,856

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Solution

The third proportional to 257,908,068 and 566,482,856 is: 1,244,252,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,908,068 : 566,482,856 = 566,482,856 : x
  2. Step 2: Convert to fraction form
    257,908,068/566,482,856 = 566,482,856/x
  3. Step 3: Cross multiply
    257,908,068x = 566,482,856 × 566,482,856
  4. Step 4: Simplify right side
    257,908,068x = 320,902,826,141,916,736
  5. Step 5: Solve for x
    x = 320,902,826,141,916,736/257,908,068
  6. Step 6: Final answer
    x = 1,244,252,762.74

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