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Finding the Third Proportional to 52,165,894,578.61 and 112,993,997,217.46

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Solution

The third proportional to 52,165,894,578.61 and 112,993,997,217.46 is: 244,750,780,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165,894,578.61 : 112,993,997,217.46 = 112,993,997,217.46 : x
  2. Step 2: Convert to fraction form
    52,165,894,578.61/112,993,997,217.46 = 112,993,997,217.46/x
  3. Step 3: Cross multiply
    52,165,894,578.61x = 112,993,997,217.46 × 112,993,997,217.46
  4. Step 4: Simplify right side
    52,165,894,578.61x = 12,767,643,407,179,359,191,040
  5. Step 5: Solve for x
    x = 12,767,643,407,179,359,191,040/52,165,894,578.61
  6. Step 6: Final answer
    x = 244,750,780,377.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.