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Finding the Third Proportional to 1,914,532,063 and 4,098,010,377

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Solution

The third proportional to 1,914,532,063 and 4,098,010,377 is: 8,771,693,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,532,063 : 4,098,010,377 = 4,098,010,377 : x
  2. Step 2: Convert to fraction form
    1,914,532,063/4,098,010,377 = 4,098,010,377/x
  3. Step 3: Cross multiply
    1,914,532,063x = 4,098,010,377 × 4,098,010,377
  4. Step 4: Simplify right side
    1,914,532,063x = 16,793,689,049,999,681,536
  5. Step 5: Solve for x
    x = 16,793,689,049,999,681,536/1,914,532,063
  6. Step 6: Final answer
    x = 8,771,693,812.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.