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Finding the Third Proportional to 35,156,944 and 77,121,193

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Solution

The third proportional to 35,156,944 and 77,121,193 is: 169,175,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,944 : 77,121,193 = 77,121,193 : x
  2. Step 2: Convert to fraction form
    35,156,944/77,121,193 = 77,121,193/x
  3. Step 3: Cross multiply
    35,156,944x = 77,121,193 × 77,121,193
  4. Step 4: Simplify right side
    35,156,944x = 5,947,678,409,743,249
  5. Step 5: Solve for x
    x = 5,947,678,409,743,249/35,156,944
  6. Step 6: Final answer
    x = 169,175,068.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.