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Finding the Third Proportional to 257,913,477 and 566,494,074

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Solution

The third proportional to 257,913,477 and 566,494,074 is: 1,244,275,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,913,477 : 566,494,074 = 566,494,074 : x
  2. Step 2: Convert to fraction form
    257,913,477/566,494,074 = 566,494,074/x
  3. Step 3: Cross multiply
    257,913,477x = 566,494,074 × 566,494,074
  4. Step 4: Simplify right side
    257,913,477x = 320,915,535,877,117,504
  5. Step 5: Solve for x
    x = 320,915,535,877,117,504/257,913,477
  6. Step 6: Final answer
    x = 1,244,275,947.15

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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.