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Finding the Third Proportional to 6,090,255,732 and 9,690,794,118

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Solution

The third proportional to 6,090,255,732 and 9,690,794,118 is: 15,419,958,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090,255,732 : 9,690,794,118 = 9,690,794,118 : x
  2. Step 2: Convert to fraction form
    6,090,255,732/9,690,794,118 = 9,690,794,118/x
  3. Step 3: Cross multiply
    6,090,255,732x = 9,690,794,118 × 9,690,794,118
  4. Step 4: Simplify right side
    6,090,255,732x = 93,911,490,637,463,404,544
  5. Step 5: Solve for x
    x = 93,911,490,637,463,404,544/6,090,255,732
  6. Step 6: Final answer
    x = 15,419,958,499.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.