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Finding the Third Proportional to 633,974,204 and 1,380,497,624

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Solution

The third proportional to 633,974,204 and 1,380,497,624 is: 3,006,074,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,974,204 : 1,380,497,624 = 1,380,497,624 : x
  2. Step 2: Convert to fraction form
    633,974,204/1,380,497,624 = 1,380,497,624/x
  3. Step 3: Cross multiply
    633,974,204x = 1,380,497,624 × 1,380,497,624
  4. Step 4: Simplify right side
    633,974,204x = 1,905,773,689,869,645,312
  5. Step 5: Solve for x
    x = 1,905,773,689,869,645,312/633,974,204
  6. Step 6: Final answer
    x = 3,006,074,502.47

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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.