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Finding the Third Proportional to 25,586,802.75 and 36,589,426.88

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Solution

The third proportional to 25,586,802.75 and 36,589,426.88 is: 52,323,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586,802.75 : 36,589,426.88 = 36,589,426.88 : x
  2. Step 2: Convert to fraction form
    25,586,802.75/36,589,426.88 = 36,589,426.88/x
  3. Step 3: Cross multiply
    25,586,802.75x = 36,589,426.88 × 36,589,426.88
  4. Step 4: Simplify right side
    25,586,802.75x = 1,338,786,159,040,972.25
  5. Step 5: Solve for x
    x = 1,338,786,159,040,972.25/25,586,802.75
  6. Step 6: Final answer
    x = 52,323,307.92

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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.