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Finding the Third Proportional to 563,941,056 and 862,120,527

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Solution

The third proportional to 563,941,056 and 862,120,527 is: 1,317,960,086.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,941,056 : 862,120,527 = 862,120,527 : x
  2. Step 2: Convert to fraction form
    563,941,056/862,120,527 = 862,120,527/x
  3. Step 3: Cross multiply
    563,941,056x = 862,120,527 × 862,120,527
  4. Step 4: Simplify right side
    563,941,056x = 743,251,803,074,757,760
  5. Step 5: Solve for x
    x = 743,251,803,074,757,760/563,941,056
  6. Step 6: Final answer
    x = 1,317,960,086.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.