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Finding the Third Proportional to 10,583,493.75 and 14,904,340.88

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Solution

The third proportional to 10,583,493.75 and 14,904,340.88 is: 20,989,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583,493.75 : 14,904,340.88 = 14,904,340.88 : x
  2. Step 2: Convert to fraction form
    10,583,493.75/14,904,340.88 = 14,904,340.88/x
  3. Step 3: Cross multiply
    10,583,493.75x = 14,904,340.88 × 14,904,340.88
  4. Step 4: Simplify right side
    10,583,493.75x = 222,139,376,918,195.75
  5. Step 5: Solve for x
    x = 222,139,376,918,195.75/10,583,493.75
  6. Step 6: Final answer
    x = 20,989,229.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.