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Finding the Third Proportional to 15,304,358,262,780 and 33,728,232,120,352

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Solution

The third proportional to 15,304,358,262,780 and 33,728,232,120,352 is: 74,331,352,052,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304,358,262,780 : 33,728,232,120,352 = 33,728,232,120,352 : x
  2. Step 2: Convert to fraction form
    15,304,358,262,780/33,728,232,120,352 = 33,728,232,120,352/x
  3. Step 3: Cross multiply
    15,304,358,262,780x = 33,728,232,120,352 × 33,728,232,120,352
  4. Step 4: Simplify right side
    15,304,358,262,780x = 1,137,593,641,964,344,304,467,968,000
  5. Step 5: Solve for x
    x = 1,137,593,641,964,344,304,467,968,000/15,304,358,262,780
  6. Step 6: Final answer
    x = 74,331,352,052,242.34

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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.