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Finding the Third Proportional to 13,785,412 and 22,895,814

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Solution

The third proportional to 13,785,412 and 22,895,814 is: 38,027,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785,412 : 22,895,814 = 22,895,814 : x
  2. Step 2: Convert to fraction form
    13,785,412/22,895,814 = 22,895,814/x
  3. Step 3: Cross multiply
    13,785,412x = 22,895,814 × 22,895,814
  4. Step 4: Simplify right side
    13,785,412x = 524,218,298,722,596
  5. Step 5: Solve for x
    x = 524,218,298,722,596/13,785,412
  6. Step 6: Final answer
    x = 38,027,031.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.