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Finding the Third Proportional to 51,043,901 and 78,458,135

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Solution

The third proportional to 51,043,901 and 78,458,135 is: 120,595,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,901 : 78,458,135 = 78,458,135 : x
  2. Step 2: Convert to fraction form
    51,043,901/78,458,135 = 78,458,135/x
  3. Step 3: Cross multiply
    51,043,901x = 78,458,135 × 78,458,135
  4. Step 4: Simplify right side
    51,043,901x = 6,155,678,947,678,225
  5. Step 5: Solve for x
    x = 6,155,678,947,678,225/51,043,901
  6. Step 6: Final answer
    x = 120,595,777.89

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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.