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Finding the Third Proportional to 349,850,400.75 and 809,925,787.13

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Solution

The third proportional to 349,850,400.75 and 809,925,787.13 is: 1,875,029,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,850,400.75 : 809,925,787.13 = 809,925,787.13 : x
  2. Step 2: Convert to fraction form
    349,850,400.75/809,925,787.13 = 809,925,787.13/x
  3. Step 3: Cross multiply
    349,850,400.75x = 809,925,787.13 × 809,925,787.13
  4. Step 4: Simplify right side
    349,850,400.75x = 655,979,780,650,050,816
  5. Step 5: Solve for x
    x = 655,979,780,650,050,816/349,850,400.75
  6. Step 6: Final answer
    x = 1,875,029,381.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.