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Finding the Third Proportional to 20,124,058 and 31,381,829

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Solution

The third proportional to 20,124,058 and 31,381,829 is: 48,937,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124,058 : 31,381,829 = 31,381,829 : x
  2. Step 2: Convert to fraction form
    20,124,058/31,381,829 = 31,381,829/x
  3. Step 3: Cross multiply
    20,124,058x = 31,381,829 × 31,381,829
  4. Step 4: Simplify right side
    20,124,058x = 984,819,191,385,241
  5. Step 5: Solve for x
    x = 984,819,191,385,241/20,124,058
  6. Step 6: Final answer
    x = 48,937,405.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.