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Finding the Third Proportional to 36,472,497 and 78,768,407

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Solution

The third proportional to 36,472,497 and 78,768,407 is: 170,113,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,472,497 : 78,768,407 = 78,768,407 : x
  2. Step 2: Convert to fraction form
    36,472,497/78,768,407 = 78,768,407/x
  3. Step 3: Cross multiply
    36,472,497x = 78,768,407 × 78,768,407
  4. Step 4: Simplify right side
    36,472,497x = 6,204,461,941,317,649
  5. Step 5: Solve for x
    x = 6,204,461,941,317,649/36,472,497
  6. Step 6: Final answer
    x = 170,113,440.31

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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.