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Finding the Third Proportional to 1,073,329,084 and 2,318,992,364

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Solution

The third proportional to 1,073,329,084 and 2,318,992,364 is: 5,010,323,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,329,084 : 2,318,992,364 = 2,318,992,364 : x
  2. Step 2: Convert to fraction form
    1,073,329,084/2,318,992,364 = 2,318,992,364/x
  3. Step 3: Cross multiply
    1,073,329,084x = 2,318,992,364 × 2,318,992,364
  4. Step 4: Simplify right side
    1,073,329,084x = 5,377,725,584,290,308,096
  5. Step 5: Solve for x
    x = 5,377,725,584,290,308,096/1,073,329,084
  6. Step 6: Final answer
    x = 5,010,323,175.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.