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Finding the Third Proportional to 1,226,368,117 and 2,690,163,737

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Solution

The third proportional to 1,226,368,117 and 2,690,163,737 is: 5,901,148,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,368,117 : 2,690,163,737 = 2,690,163,737 : x
  2. Step 2: Convert to fraction form
    1,226,368,117/2,690,163,737 = 2,690,163,737/x
  3. Step 3: Cross multiply
    1,226,368,117x = 2,690,163,737 × 2,690,163,737
  4. Step 4: Simplify right side
    1,226,368,117x = 7,236,980,931,869,805,568
  5. Step 5: Solve for x
    x = 7,236,980,931,869,805,568/1,226,368,117
  6. Step 6: Final answer
    x = 5,901,148,954.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.