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Finding the Third Proportional to 1,039,619,352 and 2,451,689,340

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Solution

The third proportional to 1,039,619,352 and 2,451,689,340 is: 5,781,712,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,619,352 : 2,451,689,340 = 2,451,689,340 : x
  2. Step 2: Convert to fraction form
    1,039,619,352/2,451,689,340 = 2,451,689,340/x
  3. Step 3: Cross multiply
    1,039,619,352x = 2,451,689,340 × 2,451,689,340
  4. Step 4: Simplify right side
    1,039,619,352x = 6,010,780,619,869,635,584
  5. Step 5: Solve for x
    x = 6,010,780,619,869,635,584/1,039,619,352
  6. Step 6: Final answer
    x = 5,781,712,901.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.