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Finding the Third Proportional to 25,586,824 and 36,589,460

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Solution

The third proportional to 25,586,824 and 36,589,460 is: 52,323,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586,824 : 36,589,460 = 36,589,460 : x
  2. Step 2: Convert to fraction form
    25,586,824/36,589,460 = 36,589,460/x
  3. Step 3: Cross multiply
    25,586,824x = 36,589,460 × 36,589,460
  4. Step 4: Simplify right side
    25,586,824x = 1,338,788,583,091,600
  5. Step 5: Solve for x
    x = 1,338,788,583,091,600/25,586,824
  6. Step 6: Final answer
    x = 52,323,359.21

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