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Finding the Third Proportional to 51,022,959.75 and 78,531,498

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Solution

The third proportional to 51,022,959.75 and 78,531,498 is: 120,871,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022,959.75 : 78,531,498 = 78,531,498 : x
  2. Step 2: Convert to fraction form
    51,022,959.75/78,531,498 = 78,531,498/x
  3. Step 3: Cross multiply
    51,022,959.75x = 78,531,498 × 78,531,498
  4. Step 4: Simplify right side
    51,022,959.75x = 6,167,196,178,124,004
  5. Step 5: Solve for x
    x = 6,167,196,178,124,004/51,022,959.75
  6. Step 6: Final answer
    x = 120,871,000.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.