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Finding the Third Proportional to 51,043,952 and 78,458,220

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Solution

The third proportional to 51,043,952 and 78,458,220 is: 120,595,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,952 : 78,458,220 = 78,458,220 : x
  2. Step 2: Convert to fraction form
    51,043,952/78,458,220 = 78,458,220/x
  3. Step 3: Cross multiply
    51,043,952x = 78,458,220 × 78,458,220
  4. Step 4: Simplify right side
    51,043,952x = 6,155,692,285,568,400
  5. Step 5: Solve for x
    x = 6,155,692,285,568,400/51,043,952
  6. Step 6: Final answer
    x = 120,595,918.70

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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.