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Finding the Third Proportional to 1,268,352,697.50 and 2,786,128,371

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Solution

The third proportional to 1,268,352,697.50 and 2,786,128,371 is: 6,120,152,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,352,697.50 : 2,786,128,371 = 2,786,128,371 : x
  2. Step 2: Convert to fraction form
    1,268,352,697.50/2,786,128,371 = 2,786,128,371/x
  3. Step 3: Cross multiply
    1,268,352,697.50x = 2,786,128,371 × 2,786,128,371
  4. Step 4: Simplify right side
    1,268,352,697.50x = 7,762,511,299,691,113,472
  5. Step 5: Solve for x
    x = 7,762,511,299,691,113,472/1,268,352,697.50
  6. Step 6: Final answer
    x = 6,120,152,001.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.