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Finding the Third Proportional to 35,098,656 and 78,263,076

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Solution

The third proportional to 35,098,656 and 78,263,076 is: 174,511,213.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098,656 : 78,263,076 = 78,263,076 : x
  2. Step 2: Convert to fraction form
    35,098,656/78,263,076 = 78,263,076/x
  3. Step 3: Cross multiply
    35,098,656x = 78,263,076 × 78,263,076
  4. Step 4: Simplify right side
    35,098,656x = 6,125,109,064,981,776
  5. Step 5: Solve for x
    x = 6,125,109,064,981,776/35,098,656
  6. Step 6: Final answer
    x = 174,511,213.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.