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Finding the Third Proportional to 6,122,106 and 13,346,516

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Solution

The third proportional to 6,122,106 and 13,346,516 is: 29,096,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122,106 : 13,346,516 = 13,346,516 : x
  2. Step 2: Convert to fraction form
    6,122,106/13,346,516 = 13,346,516/x
  3. Step 3: Cross multiply
    6,122,106x = 13,346,516 × 13,346,516
  4. Step 4: Simplify right side
    6,122,106x = 178,129,489,338,256
  5. Step 5: Solve for x
    x = 178,129,489,338,256/6,122,106
  6. Step 6: Final answer
    x = 29,096,113.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.