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Finding the Third Proportional to 8,132,769 and 10,842,483

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Solution

The third proportional to 8,132,769 and 10,842,483 is: 14,455,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132,769 : 10,842,483 = 10,842,483 : x
  2. Step 2: Convert to fraction form
    8,132,769/10,842,483 = 10,842,483/x
  3. Step 3: Cross multiply
    8,132,769x = 10,842,483 × 10,842,483
  4. Step 4: Simplify right side
    8,132,769x = 117,559,437,605,289
  5. Step 5: Solve for x
    x = 117,559,437,605,289/8,132,769
  6. Step 6: Final answer
    x = 14,455,032.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.