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Finding the Third Proportional to 13,260,724 and 20,476,878

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Solution

The third proportional to 13,260,724 and 20,476,878 is: 31,619,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260,724 : 20,476,878 = 20,476,878 : x
  2. Step 2: Convert to fraction form
    13,260,724/20,476,878 = 20,476,878/x
  3. Step 3: Cross multiply
    13,260,724x = 20,476,878 × 20,476,878
  4. Step 4: Simplify right side
    13,260,724x = 419,302,532,626,884
  5. Step 5: Solve for x
    x = 419,302,532,626,884/13,260,724
  6. Step 6: Final answer
    x = 31,619,882.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.