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Finding the Third Proportional to 337,798,761 and 727,429,422.50

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Solution

The third proportional to 337,798,761 and 727,429,422.50 is: 1,566,475,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,798,761 : 727,429,422.50 = 727,429,422.50 : x
  2. Step 2: Convert to fraction form
    337,798,761/727,429,422.50 = 727,429,422.50/x
  3. Step 3: Cross multiply
    337,798,761x = 727,429,422.50 × 727,429,422.50
  4. Step 4: Simplify right side
    337,798,761x = 529,153,564,718,683,520
  5. Step 5: Solve for x
    x = 529,153,564,718,683,520/337,798,761
  6. Step 6: Final answer
    x = 1,566,475,741.81

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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.