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Finding the Third Proportional to 35,936,400 and 78,169,228

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Solution

The third proportional to 35,936,400 and 78,169,228 is: 170,034,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,936,400 : 78,169,228 = 78,169,228 : x
  2. Step 2: Convert to fraction form
    35,936,400/78,169,228 = 78,169,228/x
  3. Step 3: Cross multiply
    35,936,400x = 78,169,228 × 78,169,228
  4. Step 4: Simplify right side
    35,936,400x = 6,110,428,206,115,984
  5. Step 5: Solve for x
    x = 6,110,428,206,115,984/35,936,400
  6. Step 6: Final answer
    x = 170,034,511.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.