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Finding the Third Proportional to 1,661,474,065.50 and 3,545,331,363

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Solution

The third proportional to 1,661,474,065.50 and 3,545,331,363 is: 7,565,194,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,474,065.50 : 3,545,331,363 = 3,545,331,363 : x
  2. Step 2: Convert to fraction form
    1,661,474,065.50/3,545,331,363 = 3,545,331,363/x
  3. Step 3: Cross multiply
    1,661,474,065.50x = 3,545,331,363 × 3,545,331,363
  4. Step 4: Simplify right side
    1,661,474,065.50x = 12,569,374,473,471,436,800
  5. Step 5: Solve for x
    x = 12,569,374,473,471,436,800/1,661,474,065.50
  6. Step 6: Final answer
    x = 7,565,194,506.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.