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Finding the Third Proportional to 32,369,401,876,608 and 69,897,925,029,784

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Solution

The third proportional to 32,369,401,876,608 and 69,897,925,029,784 is: 150,936,367,069,544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,369,401,876,608 : 69,897,925,029,784 = 69,897,925,029,784 : x
  2. Step 2: Convert to fraction form
    32,369,401,876,608/69,897,925,029,784 = 69,897,925,029,784/x
  3. Step 3: Cross multiply
    32,369,401,876,608x = 69,897,925,029,784 × 69,897,925,029,784
  4. Step 4: Simplify right side
    32,369,401,876,608x = 4,885,719,923,469,304,642,607,775,744
  5. Step 5: Solve for x
    x = 4,885,719,923,469,304,642,607,775,744/32,369,401,876,608
  6. Step 6: Final answer
    x = 150,936,367,069,544.41

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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.