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Finding the Third Proportional to 71,023,906,266 and 154,550,881,104

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Solution

The third proportional to 71,023,906,266 and 154,550,881,104 is: 336,308,943,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,023,906,266 : 154,550,881,104 = 154,550,881,104 : x
  2. Step 2: Convert to fraction form
    71,023,906,266/154,550,881,104 = 154,550,881,104/x
  3. Step 3: Cross multiply
    71,023,906,266x = 154,550,881,104 × 154,550,881,104
  4. Step 4: Simplify right side
    71,023,906,266x = 23,885,974,850,022,743,736,320
  5. Step 5: Solve for x
    x = 23,885,974,850,022,743,736,320/71,023,906,266
  6. Step 6: Final answer
    x = 336,308,943,084.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.