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Finding the Third Proportional to 10,215,612 and 21,676,518

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Solution

The third proportional to 10,215,612 and 21,676,518 is: 45,995,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,612 : 21,676,518 = 21,676,518 : x
  2. Step 2: Convert to fraction form
    10,215,612/21,676,518 = 21,676,518/x
  3. Step 3: Cross multiply
    10,215,612x = 21,676,518 × 21,676,518
  4. Step 4: Simplify right side
    10,215,612x = 469,871,432,604,324
  5. Step 5: Solve for x
    x = 469,871,432,604,324/10,215,612
  6. Step 6: Final answer
    x = 45,995,426.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.