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Finding the Third Proportional to 7,826,101 and 10,291,282

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Solution

The third proportional to 7,826,101 and 10,291,282 is: 13,532,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826,101 : 10,291,282 = 10,291,282 : x
  2. Step 2: Convert to fraction form
    7,826,101/10,291,282 = 10,291,282/x
  3. Step 3: Cross multiply
    7,826,101x = 10,291,282 × 10,291,282
  4. Step 4: Simplify right side
    7,826,101x = 105,910,485,203,524
  5. Step 5: Solve for x
    x = 105,910,485,203,524/7,826,101
  6. Step 6: Final answer
    x = 13,532,982.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.