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Finding the Third Proportional to 40,611,224,241,828 and 89,200,632,891,212

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Solution

The third proportional to 40,611,224,241,828 and 89,200,632,891,212 is: 195,924,970,417,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,611,224,241,828 : 89,200,632,891,212 = 89,200,632,891,212 : x
  2. Step 2: Convert to fraction form
    40,611,224,241,828/89,200,632,891,212 = 89,200,632,891,212/x
  3. Step 3: Cross multiply
    40,611,224,241,828x = 89,200,632,891,212 × 89,200,632,891,212
  4. Step 4: Simplify right side
    40,611,224,241,828x = 7,956,752,908,192,772,411,925,463,040
  5. Step 5: Solve for x
    x = 7,956,752,908,192,772,411,925,463,040/40,611,224,241,828
  6. Step 6: Final answer
    x = 195,924,970,417,356.25

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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.