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Finding the Third Proportional to 488,427,138,924.75 and 738,922,550,635.12

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Solution

The third proportional to 488,427,138,924.75 and 738,922,550,635.12 is: 1,117,887,382,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,427,138,924.75 : 738,922,550,635.12 = 738,922,550,635.12 : x
  2. Step 2: Convert to fraction form
    488,427,138,924.75/738,922,550,635.12 = 738,922,550,635.12/x
  3. Step 3: Cross multiply
    488,427,138,924.75x = 738,922,550,635.12 × 738,922,550,635.12
  4. Step 4: Simplify right side
    488,427,138,924.75x = 546,006,535,837,111,466,065,920
  5. Step 5: Solve for x
    x = 546,006,535,837,111,466,065,920/488,427,138,924.75
  6. Step 6: Final answer
    x = 1,117,887,382,423.34

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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.