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Finding the Third Proportional to 1,211,482,625 and 2,635,228,545

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Solution

The third proportional to 1,211,482,625 and 2,635,228,545 is: 5,732,174,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,482,625 : 2,635,228,545 = 2,635,228,545 : x
  2. Step 2: Convert to fraction form
    1,211,482,625/2,635,228,545 = 2,635,228,545/x
  3. Step 3: Cross multiply
    1,211,482,625x = 2,635,228,545 × 2,635,228,545
  4. Step 4: Simplify right side
    1,211,482,625x = 6,944,429,484,382,817,280
  5. Step 5: Solve for x
    x = 6,944,429,484,382,817,280/1,211,482,625
  6. Step 6: Final answer
    x = 5,732,174,231.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.