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Finding the Third Proportional to 36,547,758 and 81,265,257

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Solution

The third proportional to 36,547,758 and 81,265,257 is: 180,696,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547,758 : 81,265,257 = 81,265,257 : x
  2. Step 2: Convert to fraction form
    36,547,758/81,265,257 = 81,265,257/x
  3. Step 3: Cross multiply
    36,547,758x = 81,265,257 × 81,265,257
  4. Step 4: Simplify right side
    36,547,758x = 6,604,041,995,276,049
  5. Step 5: Solve for x
    x = 6,604,041,995,276,049/36,547,758
  6. Step 6: Final answer
    x = 180,696,227.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.