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Finding the Third Proportional to 18,211,642,396 and 40,610,731,502

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Solution

The third proportional to 18,211,642,396 and 40,610,731,502 is: 90,559,186,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211,642,396 : 40,610,731,502 = 40,610,731,502 : x
  2. Step 2: Convert to fraction form
    18,211,642,396/40,610,731,502 = 40,610,731,502/x
  3. Step 3: Cross multiply
    18,211,642,396x = 40,610,731,502 × 40,610,731,502
  4. Step 4: Simplify right side
    18,211,642,396x = 1,649,231,513,127,535,247,360
  5. Step 5: Solve for x
    x = 1,649,231,513,127,535,247,360/18,211,642,396
  6. Step 6: Final answer
    x = 90,559,186,111.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.