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Finding the Third Proportional to 563,941,816 and 862,121,740

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Solution

The third proportional to 563,941,816 and 862,121,740 is: 1,317,962,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,941,816 : 862,121,740 = 862,121,740 : x
  2. Step 2: Convert to fraction form
    563,941,816/862,121,740 = 862,121,740/x
  3. Step 3: Cross multiply
    563,941,816x = 862,121,740 × 862,121,740
  4. Step 4: Simplify right side
    563,941,816x = 743,253,894,580,627,584
  5. Step 5: Solve for x
    x = 743,253,894,580,627,584/563,941,816
  6. Step 6: Final answer
    x = 1,317,962,019.30

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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.