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Finding the Third Proportional to 6,430,149 and 13,869,909

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Solution

The third proportional to 6,430,149 and 13,869,909 is: 29,917,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,149 : 13,869,909 = 13,869,909 : x
  2. Step 2: Convert to fraction form
    6,430,149/13,869,909 = 13,869,909/x
  3. Step 3: Cross multiply
    6,430,149x = 13,869,909 × 13,869,909
  4. Step 4: Simplify right side
    6,430,149x = 192,374,375,668,281
  5. Step 5: Solve for x
    x = 192,374,375,668,281/6,430,149
  6. Step 6: Final answer
    x = 29,917,561.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.