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Finding the Third Proportional to 10,792,084,334 and 24,065,618,578

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Solution

The third proportional to 10,792,084,334 and 24,065,618,578 is: 53,664,702,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792,084,334 : 24,065,618,578 = 24,065,618,578 : x
  2. Step 2: Convert to fraction form
    10,792,084,334/24,065,618,578 = 24,065,618,578/x
  3. Step 3: Cross multiply
    10,792,084,334x = 24,065,618,578 × 24,065,618,578
  4. Step 4: Simplify right side
    10,792,084,334x = 579,153,997,541,778,718,720
  5. Step 5: Solve for x
    x = 579,153,997,541,778,718,720/10,792,084,334
  6. Step 6: Final answer
    x = 53,664,702,722.64

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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.