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Finding the Third Proportional to 10,288,608.75 and 15,788,644.88

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Solution

The third proportional to 10,288,608.75 and 15,788,644.88 is: 24,228,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288,608.75 : 15,788,644.88 = 15,788,644.88 : x
  2. Step 2: Convert to fraction form
    10,288,608.75/15,788,644.88 = 15,788,644.88/x
  3. Step 3: Cross multiply
    10,288,608.75x = 15,788,644.88 × 15,788,644.88
  4. Step 4: Simplify right side
    10,288,608.75x = 249,281,306,988,863.75
  5. Step 5: Solve for x
    x = 249,281,306,988,863.75/10,288,608.75
  6. Step 6: Final answer
    x = 24,228,864.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.