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Finding the Third Proportional to 14,381,705 and 30,782,609

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Solution

The third proportional to 14,381,705 and 30,782,609 is: 65,887,112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381,705 : 30,782,609 = 30,782,609 : x
  2. Step 2: Convert to fraction form
    14,381,705/30,782,609 = 30,782,609/x
  3. Step 3: Cross multiply
    14,381,705x = 30,782,609 × 30,782,609
  4. Step 4: Simplify right side
    14,381,705x = 947,569,016,846,881
  5. Step 5: Solve for x
    x = 947,569,016,846,881/14,381,705
  6. Step 6: Final answer
    x = 65,887,112.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.