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Finding the Third Proportional to 8,561,459 and 12,535,023

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Solution

The third proportional to 8,561,459 and 12,535,023 is: 18,352,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,459 : 12,535,023 = 12,535,023 : x
  2. Step 2: Convert to fraction form
    8,561,459/12,535,023 = 12,535,023/x
  3. Step 3: Cross multiply
    8,561,459x = 12,535,023 × 12,535,023
  4. Step 4: Simplify right side
    8,561,459x = 157,126,801,610,529
  5. Step 5: Solve for x
    x = 157,126,801,610,529/8,561,459
  6. Step 6: Final answer
    x = 18,352,806.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.