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Finding the Third Proportional to 72,678,363.75 and 111,711,678.75

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Solution

The third proportional to 72,678,363.75 and 111,711,678.75 is: 171,708,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678,363.75 : 111,711,678.75 = 111,711,678.75 : x
  2. Step 2: Convert to fraction form
    72,678,363.75/111,711,678.75 = 111,711,678.75/x
  3. Step 3: Cross multiply
    72,678,363.75x = 111,711,678.75 × 111,711,678.75
  4. Step 4: Simplify right side
    72,678,363.75x = 12,479,499,169,143,202
  5. Step 5: Solve for x
    x = 12,479,499,169,143,202/72,678,363.75
  6. Step 6: Final answer
    x = 171,708,587.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.