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Finding the Third Proportional to 866,330,952 and 1,891,415,096

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Solution

The third proportional to 866,330,952 and 1,891,415,096 is: 4,129,427,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,330,952 : 1,891,415,096 = 1,891,415,096 : x
  2. Step 2: Convert to fraction form
    866,330,952/1,891,415,096 = 1,891,415,096/x
  3. Step 3: Cross multiply
    866,330,952x = 1,891,415,096 × 1,891,415,096
  4. Step 4: Simplify right side
    866,330,952x = 3,577,451,065,376,689,152
  5. Step 5: Solve for x
    x = 3,577,451,065,376,689,152/866,330,952
  6. Step 6: Final answer
    x = 4,129,427,740.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.