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Finding the Third Proportional to 1,914,532,061 and 4,098,010,373

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Solution

The third proportional to 1,914,532,061 and 4,098,010,373 is: 8,771,693,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914,532,061 : 4,098,010,373 = 4,098,010,373 : x
  2. Step 2: Convert to fraction form
    1,914,532,061/4,098,010,373 = 4,098,010,373/x
  3. Step 3: Cross multiply
    1,914,532,061x = 4,098,010,373 × 4,098,010,373
  4. Step 4: Simplify right side
    1,914,532,061x = 16,793,689,017,215,598,592
  5. Step 5: Solve for x
    x = 16,793,689,017,215,598,592/1,914,532,061
  6. Step 6: Final answer
    x = 8,771,693,804.10

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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.