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Finding the Third Proportional to 17,360,460 and 36,689,216

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Solution

The third proportional to 17,360,460 and 36,689,216 is: 77,538,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,360,460 : 36,689,216 = 36,689,216 : x
  2. Step 2: Convert to fraction form
    17,360,460/36,689,216 = 36,689,216/x
  3. Step 3: Cross multiply
    17,360,460x = 36,689,216 × 36,689,216
  4. Step 4: Simplify right side
    17,360,460x = 1,346,098,570,694,656
  5. Step 5: Solve for x
    x = 1,346,098,570,694,656/17,360,460
  6. Step 6: Final answer
    x = 77,538,185.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.