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Finding the Third Proportional to 22,434,913.25 and 48,800,655.25

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Solution

The third proportional to 22,434,913.25 and 48,800,655.25 is: 106,151,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434,913.25 : 48,800,655.25 = 48,800,655.25 : x
  2. Step 2: Convert to fraction form
    22,434,913.25/48,800,655.25 = 48,800,655.25/x
  3. Step 3: Cross multiply
    22,434,913.25x = 48,800,655.25 × 48,800,655.25
  4. Step 4: Simplify right side
    22,434,913.25x = 2,381,503,952,829,352.50
  5. Step 5: Solve for x
    x = 2,381,503,952,829,352.50/22,434,913.25
  6. Step 6: Final answer
    x = 106,151,689.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.