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Finding the Third Proportional to 5,177,766,480 and 11,410,926,672

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Solution

The third proportional to 5,177,766,480 and 11,410,926,672 is: 25,147,763,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,766,480 : 11,410,926,672 = 11,410,926,672 : x
  2. Step 2: Convert to fraction form
    5,177,766,480/11,410,926,672 = 11,410,926,672/x
  3. Step 3: Cross multiply
    5,177,766,480x = 11,410,926,672 × 11,410,926,672
  4. Step 4: Simplify right side
    5,177,766,480x = 130,209,247,513,760,989,184
  5. Step 5: Solve for x
    x = 130,209,247,513,760,989,184/5,177,766,480
  6. Step 6: Final answer
    x = 25,147,763,619.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.