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Finding the Third Proportional to 56,116,262 and 120,586,864

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Solution

The third proportional to 56,116,262 and 120,586,864 is: 259,126,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,116,262 : 120,586,864 = 120,586,864 : x
  2. Step 2: Convert to fraction form
    56,116,262/120,586,864 = 120,586,864/x
  3. Step 3: Cross multiply
    56,116,262x = 120,586,864 × 120,586,864
  4. Step 4: Simplify right side
    56,116,262x = 14,541,191,769,354,496
  5. Step 5: Solve for x
    x = 14,541,191,769,354,496/56,116,262
  6. Step 6: Final answer
    x = 259,126,165.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.