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Finding the Third Proportional to 52,894,984 and 81,736,228

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Solution

The third proportional to 52,894,984 and 81,736,228 is: 126,303,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894,984 : 81,736,228 = 81,736,228 : x
  2. Step 2: Convert to fraction form
    52,894,984/81,736,228 = 81,736,228/x
  3. Step 3: Cross multiply
    52,894,984x = 81,736,228 × 81,736,228
  4. Step 4: Simplify right side
    52,894,984x = 6,680,810,967,667,984
  5. Step 5: Solve for x
    x = 6,680,810,967,667,984/52,894,984
  6. Step 6: Final answer
    x = 126,303,298.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.