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Finding the Third Proportional to 40,348,767 and 83,568,549

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Solution

The third proportional to 40,348,767 and 83,568,549 is: 173,083,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,767 : 83,568,549 = 83,568,549 : x
  2. Step 2: Convert to fraction form
    40,348,767/83,568,549 = 83,568,549/x
  3. Step 3: Cross multiply
    40,348,767x = 83,568,549 × 83,568,549
  4. Step 4: Simplify right side
    40,348,767x = 6,983,702,381,965,401
  5. Step 5: Solve for x
    x = 6,983,702,381,965,401/40,348,767
  6. Step 6: Final answer
    x = 173,083,414.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.