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Finding the Third Proportional to 35,529,276 and 77,744,981

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Solution

The third proportional to 35,529,276 and 77,744,981 is: 170,121,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529,276 : 77,744,981 = 77,744,981 : x
  2. Step 2: Convert to fraction form
    35,529,276/77,744,981 = 77,744,981/x
  3. Step 3: Cross multiply
    35,529,276x = 77,744,981 × 77,744,981
  4. Step 4: Simplify right side
    35,529,276x = 6,044,282,070,690,361
  5. Step 5: Solve for x
    x = 6,044,282,070,690,361/35,529,276
  6. Step 6: Final answer
    x = 170,121,171.92

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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.