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Finding the Third Proportional to 41,456,510,928 and 89,518,842,144

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Solution

The third proportional to 41,456,510,928 and 89,518,842,144 is: 193,301,918,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456,510,928 : 89,518,842,144 = 89,518,842,144 : x
  2. Step 2: Convert to fraction form
    41,456,510,928/89,518,842,144 = 89,518,842,144/x
  3. Step 3: Cross multiply
    41,456,510,928x = 89,518,842,144 × 89,518,842,144
  4. Step 4: Simplify right side
    41,456,510,928x = 8,013,623,098,802,390,958,080
  5. Step 5: Solve for x
    x = 8,013,623,098,802,390,958,080/41,456,510,928
  6. Step 6: Final answer
    x = 193,301,918,550.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.