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Finding the Third Proportional to 337,252,766.25 and 752,050,826.25

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Solution

The third proportional to 337,252,766.25 and 752,050,826.25 is: 1,677,022,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,252,766.25 : 752,050,826.25 = 752,050,826.25 : x
  2. Step 2: Convert to fraction form
    337,252,766.25/752,050,826.25 = 752,050,826.25/x
  3. Step 3: Cross multiply
    337,252,766.25x = 752,050,826.25 × 752,050,826.25
  4. Step 4: Simplify right side
    337,252,766.25x = 565,580,445,263,307,712
  5. Step 5: Solve for x
    x = 565,580,445,263,307,712/337,252,766.25
  6. Step 6: Final answer
    x = 1,677,022,405.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.