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Finding the Third Proportional to 1,216,595,376 and 2,497,686,088

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Solution

The third proportional to 1,216,595,376 and 2,497,686,088 is: 5,127,781,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,595,376 : 2,497,686,088 = 2,497,686,088 : x
  2. Step 2: Convert to fraction form
    1,216,595,376/2,497,686,088 = 2,497,686,088/x
  3. Step 3: Cross multiply
    1,216,595,376x = 2,497,686,088 × 2,497,686,088
  4. Step 4: Simplify right side
    1,216,595,376x = 6,238,435,794,188,743,680
  5. Step 5: Solve for x
    x = 6,238,435,794,188,743,680/1,216,595,376
  6. Step 6: Final answer
    x = 5,127,781,937.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.