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Finding the Third Proportional to 866,330,938 and 1,891,415,068

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Solution

The third proportional to 866,330,938 and 1,891,415,068 is: 4,129,427,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,330,938 : 1,891,415,068 = 1,891,415,068 : x
  2. Step 2: Convert to fraction form
    866,330,938/1,891,415,068 = 1,891,415,068/x
  3. Step 3: Cross multiply
    866,330,938x = 1,891,415,068 × 1,891,415,068
  4. Step 4: Simplify right side
    866,330,938x = 3,577,450,959,457,444,864
  5. Step 5: Solve for x
    x = 3,577,450,959,457,444,864/866,330,938
  6. Step 6: Final answer
    x = 4,129,427,684.66

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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.