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Finding the Third Proportional to 9,015,103,100 and 12,457,168,608

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Solution

The third proportional to 9,015,103,100 and 12,457,168,608 is: 17,213,452,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015,103,100 : 12,457,168,608 = 12,457,168,608 : x
  2. Step 2: Convert to fraction form
    9,015,103,100/12,457,168,608 = 12,457,168,608/x
  3. Step 3: Cross multiply
    9,015,103,100x = 12,457,168,608 × 12,457,168,608
  4. Step 4: Simplify right side
    9,015,103,100x = 155,181,049,728,140,673,024
  5. Step 5: Solve for x
    x = 155,181,049,728,140,673,024/9,015,103,100
  6. Step 6: Final answer
    x = 17,213,452,581.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.