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Finding the Third Proportional to 337,798,760.81 and 727,429,421.63

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Solution

The third proportional to 337,798,760.81 and 727,429,421.63 is: 1,566,475,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,798,760.81 : 727,429,421.63 = 727,429,421.63 : x
  2. Step 2: Convert to fraction form
    337,798,760.81/727,429,421.63 = 727,429,421.63/x
  3. Step 3: Cross multiply
    337,798,760.81x = 727,429,421.63 × 727,429,421.63
  4. Step 4: Simplify right side
    337,798,760.81x = 529,153,563,445,682,048
  5. Step 5: Solve for x
    x = 529,153,563,445,682,048/337,798,760.81
  6. Step 6: Final answer
    x = 1,566,475,738.91

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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.