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Finding the Third Proportional to 30,080,470.50 and 45,825,729.75

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Solution

The third proportional to 30,080,470.50 and 45,825,729.75 is: 69,812,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080,470.50 : 45,825,729.75 = 45,825,729.75 : x
  2. Step 2: Convert to fraction form
    30,080,470.50/45,825,729.75 = 45,825,729.75/x
  3. Step 3: Cross multiply
    30,080,470.50x = 45,825,729.75 × 45,825,729.75
  4. Step 4: Simplify right side
    30,080,470.50x = 2,099,997,507,120,035
  5. Step 5: Solve for x
    x = 2,099,997,507,120,035/30,080,470.50
  6. Step 6: Final answer
    x = 69,812,654.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.