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Finding the Third Proportional to 25,586,826 and 36,589,463

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Solution

The third proportional to 25,586,826 and 36,589,463 is: 52,323,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586,826 : 36,589,463 = 36,589,463 : x
  2. Step 2: Convert to fraction form
    25,586,826/36,589,463 = 36,589,463/x
  3. Step 3: Cross multiply
    25,586,826x = 36,589,463 × 36,589,463
  4. Step 4: Simplify right side
    25,586,826x = 1,338,788,802,628,369
  5. Step 5: Solve for x
    x = 1,338,788,802,628,369/25,586,826
  6. Step 6: Final answer
    x = 52,323,363.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.