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Finding the Third Proportional to 337,798,762 and 727,429,424.50

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Solution

The third proportional to 337,798,762 and 727,429,424.50 is: 1,566,475,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,798,762 : 727,429,424.50 = 727,429,424.50 : x
  2. Step 2: Convert to fraction form
    337,798,762/727,429,424.50 = 727,429,424.50/x
  3. Step 3: Cross multiply
    337,798,762x = 727,429,424.50 × 727,429,424.50
  4. Step 4: Simplify right side
    337,798,762x = 529,153,567,628,401,216
  5. Step 5: Solve for x
    x = 529,153,567,628,401,216/337,798,762
  6. Step 6: Final answer
    x = 1,566,475,745.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.