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Finding the Third Proportional to 13,426,386 and 20,649,231

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Solution

The third proportional to 13,426,386 and 20,649,231 is: 31,757,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426,386 : 20,649,231 = 20,649,231 : x
  2. Step 2: Convert to fraction form
    13,426,386/20,649,231 = 20,649,231/x
  3. Step 3: Cross multiply
    13,426,386x = 20,649,231 × 20,649,231
  4. Step 4: Simplify right side
    13,426,386x = 426,390,740,891,361
  5. Step 5: Solve for x
    x = 426,390,740,891,361/13,426,386
  6. Step 6: Final answer
    x = 31,757,670.37

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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.