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Finding the Third Proportional to 10,288,620 and 15,788,664

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Solution

The third proportional to 10,288,620 and 15,788,664 is: 24,228,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288,620 : 15,788,664 = 15,788,664 : x
  2. Step 2: Convert to fraction form
    10,288,620/15,788,664 = 15,788,664/x
  3. Step 3: Cross multiply
    10,288,620x = 15,788,664 × 15,788,664
  4. Step 4: Simplify right side
    10,288,620x = 249,281,910,904,896
  5. Step 5: Solve for x
    x = 249,281,910,904,896/10,288,620
  6. Step 6: Final answer
    x = 24,228,896.67

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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.