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Finding the Third Proportional to 13,678,680 and 21,346,164

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Solution

The third proportional to 13,678,680 and 21,346,164 is: 33,311,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678,680 : 21,346,164 = 21,346,164 : x
  2. Step 2: Convert to fraction form
    13,678,680/21,346,164 = 21,346,164/x
  3. Step 3: Cross multiply
    13,678,680x = 21,346,164 × 21,346,164
  4. Step 4: Simplify right side
    13,678,680x = 455,658,717,514,896
  5. Step 5: Solve for x
    x = 455,658,717,514,896/13,678,680
  6. Step 6: Final answer
    x = 33,311,600.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.