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Finding the Third Proportional to 563,737,392 and 862,453,764

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Solution

The third proportional to 563,737,392 and 862,453,764 is: 1,319,455,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,737,392 : 862,453,764 = 862,453,764 : x
  2. Step 2: Convert to fraction form
    563,737,392/862,453,764 = 862,453,764/x
  3. Step 3: Cross multiply
    563,737,392x = 862,453,764 × 862,453,764
  4. Step 4: Simplify right side
    563,737,392x = 743,826,495,037,767,680
  5. Step 5: Solve for x
    x = 743,826,495,037,767,680/563,737,392
  6. Step 6: Final answer
    x = 1,319,455,664.27

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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.