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Finding the Third Proportional to 53,876,360 and 82,159,667

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Solution

The third proportional to 53,876,360 and 82,159,667 is: 125,290,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876,360 : 82,159,667 = 82,159,667 : x
  2. Step 2: Convert to fraction form
    53,876,360/82,159,667 = 82,159,667/x
  3. Step 3: Cross multiply
    53,876,360x = 82,159,667 × 82,159,667
  4. Step 4: Simplify right side
    53,876,360x = 6,750,210,881,550,889
  5. Step 5: Solve for x
    x = 6,750,210,881,550,889/53,876,360
  6. Step 6: Final answer
    x = 125,290,774.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.