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Finding the Third Proportional to 337,252,762.50 and 752,050,820.50

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Solution

The third proportional to 337,252,762.50 and 752,050,820.50 is: 1,677,022,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,252,762.50 : 752,050,820.50 = 752,050,820.50 : x
  2. Step 2: Convert to fraction form
    337,252,762.50/752,050,820.50 = 752,050,820.50/x
  3. Step 3: Cross multiply
    337,252,762.50x = 752,050,820.50 × 752,050,820.50
  4. Step 4: Simplify right side
    337,252,762.50x = 565,580,436,614,723,200
  5. Step 5: Solve for x
    x = 565,580,436,614,723,200/337,252,762.50
  6. Step 6: Final answer
    x = 1,677,022,398.34

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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.