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Finding the Third Proportional to 13,708,106 and 30,106,778

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Solution

The third proportional to 13,708,106 and 30,106,778 is: 66,122,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708,106 : 30,106,778 = 30,106,778 : x
  2. Step 2: Convert to fraction form
    13,708,106/30,106,778 = 30,106,778/x
  3. Step 3: Cross multiply
    13,708,106x = 30,106,778 × 30,106,778
  4. Step 4: Simplify right side
    13,708,106x = 906,418,081,541,284
  5. Step 5: Solve for x
    x = 906,418,081,541,284/13,708,106
  6. Step 6: Final answer
    x = 66,122,780.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.