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Finding the Third Proportional to 797,731,882.50 and 1,225,413,843.75

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Solution

The third proportional to 797,731,882.50 and 1,225,413,843.75 is: 1,882,385,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731,882.50 : 1,225,413,843.75 = 1,225,413,843.75 : x
  2. Step 2: Convert to fraction form
    797,731,882.50/1,225,413,843.75 = 1,225,413,843.75/x
  3. Step 3: Cross multiply
    797,731,882.50x = 1,225,413,843.75 × 1,225,413,843.75
  4. Step 4: Simplify right side
    797,731,882.50x = 1,501,639,088,454,149,376
  5. Step 5: Solve for x
    x = 1,501,639,088,454,149,376/797,731,882.50
  6. Step 6: Final answer
    x = 1,882,385,700.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.