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Finding the Third Proportional to 35,769,981 and 77,482,386

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Solution

The third proportional to 35,769,981 and 77,482,386 is: 167,836,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769,981 : 77,482,386 = 77,482,386 : x
  2. Step 2: Convert to fraction form
    35,769,981/77,482,386 = 77,482,386/x
  3. Step 3: Cross multiply
    35,769,981x = 77,482,386 × 77,482,386
  4. Step 4: Simplify right side
    35,769,981x = 6,003,520,140,252,996
  5. Step 5: Solve for x
    x = 6,003,520,140,252,996/35,769,981
  6. Step 6: Final answer
    x = 167,836,827.76

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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.