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Finding the Third Proportional to 14,210,266 and 30,832,460

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Solution

The third proportional to 14,210,266 and 30,832,460 is: 66,898,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210,266 : 30,832,460 = 30,832,460 : x
  2. Step 2: Convert to fraction form
    14,210,266/30,832,460 = 30,832,460/x
  3. Step 3: Cross multiply
    14,210,266x = 30,832,460 × 30,832,460
  4. Step 4: Simplify right side
    14,210,266x = 950,640,589,651,600
  5. Step 5: Solve for x
    x = 950,640,589,651,600/14,210,266
  6. Step 6: Final answer
    x = 66,898,155.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.