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Finding the Third Proportional to 7,255,696 and 10,488,648

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Solution

The third proportional to 7,255,696 and 10,488,648 is: 15,162,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255,696 : 10,488,648 = 10,488,648 : x
  2. Step 2: Convert to fraction form
    7,255,696/10,488,648 = 10,488,648/x
  3. Step 3: Cross multiply
    7,255,696x = 10,488,648 × 10,488,648
  4. Step 4: Simplify right side
    7,255,696x = 110,011,736,867,904
  5. Step 5: Solve for x
    x = 110,011,736,867,904/7,255,696
  6. Step 6: Final answer
    x = 15,162,120.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.