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Finding the Third Proportional to 45,112,198 and 72,637,216

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Solution

The third proportional to 45,112,198 and 72,637,216 is: 116,956,508.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,112,198 : 72,637,216 = 72,637,216 : x
  2. Step 2: Convert to fraction form
    45,112,198/72,637,216 = 72,637,216/x
  3. Step 3: Cross multiply
    45,112,198x = 72,637,216 × 72,637,216
  4. Step 4: Simplify right side
    45,112,198x = 5,276,165,148,230,656
  5. Step 5: Solve for x
    x = 5,276,165,148,230,656/45,112,198
  6. Step 6: Final answer
    x = 116,956,508.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.