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Finding the Third Proportional to 488,427,138,917.67 and 738,922,550,623.40

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Solution

The third proportional to 488,427,138,917.67 and 738,922,550,623.40 is: 1,117,887,382,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,427,138,917.67 : 738,922,550,623.40 = 738,922,550,623.40 : x
  2. Step 2: Convert to fraction form
    488,427,138,917.67/738,922,550,623.40 = 738,922,550,623.40/x
  3. Step 3: Cross multiply
    488,427,138,917.67x = 738,922,550,623.40 × 738,922,550,623.40
  4. Step 4: Simplify right side
    488,427,138,917.67x = 546,006,535,819,791,205,138,432
  5. Step 5: Solve for x
    x = 546,006,535,819,791,205,138,432/488,427,138,917.67
  6. Step 6: Final answer
    x = 1,117,887,382,404.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.