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Finding the Third Proportional to 51,043,895 and 78,458,124

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Solution

The third proportional to 51,043,895 and 78,458,124 is: 120,595,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,043,895 : 78,458,124 = 78,458,124 : x
  2. Step 2: Convert to fraction form
    51,043,895/78,458,124 = 78,458,124/x
  3. Step 3: Cross multiply
    51,043,895x = 78,458,124 × 78,458,124
  4. Step 4: Simplify right side
    51,043,895x = 6,155,677,221,599,376
  5. Step 5: Solve for x
    x = 6,155,677,221,599,376/51,043,895
  6. Step 6: Final answer
    x = 120,595,758.25

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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.