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Finding the Third Proportional to 681,458,982.75 and 1,482,316,069.50

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Solution

The third proportional to 681,458,982.75 and 1,482,316,069.50 is: 3,224,348,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,458,982.75 : 1,482,316,069.50 = 1,482,316,069.50 : x
  2. Step 2: Convert to fraction form
    681,458,982.75/1,482,316,069.50 = 1,482,316,069.50/x
  3. Step 3: Cross multiply
    681,458,982.75x = 1,482,316,069.50 × 1,482,316,069.50
  4. Step 4: Simplify right side
    681,458,982.75x = 2,197,260,929,897,928,704
  5. Step 5: Solve for x
    x = 2,197,260,929,897,928,704/681,458,982.75
  6. Step 6: Final answer
    x = 3,224,348,031.97

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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.