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Finding the Third Proportional to 13,065,534 and 20,312,538

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Solution

The third proportional to 13,065,534 and 20,312,538 is: 31,579,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065,534 : 20,312,538 = 20,312,538 : x
  2. Step 2: Convert to fraction form
    13,065,534/20,312,538 = 20,312,538/x
  3. Step 3: Cross multiply
    13,065,534x = 20,312,538 × 20,312,538
  4. Step 4: Simplify right side
    13,065,534x = 412,599,200,001,444
  5. Step 5: Solve for x
    x = 412,599,200,001,444/13,065,534
  6. Step 6: Final answer
    x = 31,579,206.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.