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Finding the Third Proportional to 10,792,084,474 and 24,065,618,836

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Solution

The third proportional to 10,792,084,474 and 24,065,618,836 is: 53,664,703,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792,084,474 : 24,065,618,836 = 24,065,618,836 : x
  2. Step 2: Convert to fraction form
    10,792,084,474/24,065,618,836 = 24,065,618,836/x
  3. Step 3: Cross multiply
    10,792,084,474x = 24,065,618,836 × 24,065,618,836
  4. Step 4: Simplify right side
    10,792,084,474x = 579,154,009,959,637,975,040
  5. Step 5: Solve for x
    x = 579,154,009,959,637,975,040/10,792,084,474
  6. Step 6: Final answer
    x = 53,664,703,177.12

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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.