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Finding the Third Proportional to 450,028,041.75 and 676,240,186.78

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Solution

The third proportional to 450,028,041.75 and 676,240,186.78 is: 1,016,160,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,028,041.75 : 676,240,186.78 = 676,240,186.78 : x
  2. Step 2: Convert to fraction form
    450,028,041.75/676,240,186.78 = 676,240,186.78/x
  3. Step 3: Cross multiply
    450,028,041.75x = 676,240,186.78 × 676,240,186.78
  4. Step 4: Simplify right side
    450,028,041.75x = 457,300,790,217,939,904
  5. Step 5: Solve for x
    x = 457,300,790,217,939,904/450,028,041.75
  6. Step 6: Final answer
    x = 1,016,160,656.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.