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Finding the Third Proportional to 35,981,876.25 and 52,623,348.75

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Solution

The third proportional to 35,981,876.25 and 52,623,348.75 is: 76,961,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981,876.25 : 52,623,348.75 = 52,623,348.75 : x
  2. Step 2: Convert to fraction form
    35,981,876.25/52,623,348.75 = 52,623,348.75/x
  3. Step 3: Cross multiply
    35,981,876.25x = 52,623,348.75 × 52,623,348.75
  4. Step 4: Simplify right side
    35,981,876.25x = 2,769,216,833,664,126.50
  5. Step 5: Solve for x
    x = 2,769,216,833,664,126.50/35,981,876.25
  6. Step 6: Final answer
    x = 76,961,435.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.