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Finding the Third Proportional to 35,156,983 and 77,121,278

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Solution

The third proportional to 35,156,983 and 77,121,278 is: 169,175,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,156,983 : 77,121,278 = 77,121,278 : x
  2. Step 2: Convert to fraction form
    35,156,983/77,121,278 = 77,121,278/x
  3. Step 3: Cross multiply
    35,156,983x = 77,121,278 × 77,121,278
  4. Step 4: Simplify right side
    35,156,983x = 5,947,691,520,353,284
  5. Step 5: Solve for x
    x = 5,947,691,520,353,284/35,156,983
  6. Step 6: Final answer
    x = 169,175,253.76

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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.