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Finding the Third Proportional to 21,685,686 and 47,148,780

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Solution

The third proportional to 21,685,686 and 47,148,780 is: 102,510,358.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685,686 : 47,148,780 = 47,148,780 : x
  2. Step 2: Convert to fraction form
    21,685,686/47,148,780 = 47,148,780/x
  3. Step 3: Cross multiply
    21,685,686x = 47,148,780 × 47,148,780
  4. Step 4: Simplify right side
    21,685,686x = 2,223,007,455,488,400
  5. Step 5: Solve for x
    x = 2,223,007,455,488,400/21,685,686
  6. Step 6: Final answer
    x = 102,510,358.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.