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Finding the Third Proportional to 13,288,509 and 20,818,495.13

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Solution

The third proportional to 13,288,509 and 20,818,495.13 is: 32,615,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,288,509 : 20,818,495.13 = 20,818,495.13 : x
  2. Step 2: Convert to fraction form
    13,288,509/20,818,495.13 = 20,818,495.13/x
  3. Step 3: Cross multiply
    13,288,509x = 20,818,495.13 × 20,818,495.13
  4. Step 4: Simplify right side
    13,288,509x = 433,409,739,269,648.75
  5. Step 5: Solve for x
    x = 433,409,739,269,648.75/13,288,509
  6. Step 6: Final answer
    x = 32,615,377.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.