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Finding the Third Proportional to 35,306,514 and 76,186,591.50

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Solution

The third proportional to 35,306,514 and 76,186,591.50 is: 164,400,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,306,514 : 76,186,591.50 = 76,186,591.50 : x
  2. Step 2: Convert to fraction form
    35,306,514/76,186,591.50 = 76,186,591.50/x
  3. Step 3: Cross multiply
    35,306,514x = 76,186,591.50 × 76,186,591.50
  4. Step 4: Simplify right side
    35,306,514x = 5,804,396,724,387,872
  5. Step 5: Solve for x
    x = 5,804,396,724,387,872/35,306,514
  6. Step 6: Final answer
    x = 164,400,164.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.