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Finding the Third Proportional to 52,426,857 and 78,640,290

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Solution

The third proportional to 52,426,857 and 78,640,290 is: 117,960,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426,857 : 78,640,290 = 78,640,290 : x
  2. Step 2: Convert to fraction form
    52,426,857/78,640,290 = 78,640,290/x
  3. Step 3: Cross multiply
    52,426,857x = 78,640,290 × 78,640,290
  4. Step 4: Simplify right side
    52,426,857x = 6,184,295,211,284,100
  5. Step 5: Solve for x
    x = 6,184,295,211,284,100/52,426,857
  6. Step 6: Final answer
    x = 117,960,441.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.