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Finding the Third Proportional to 10,792,084,347 and 24,065,618,598

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Solution

The third proportional to 10,792,084,347 and 24,065,618,598 is: 53,664,702,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792,084,347 : 24,065,618,598 = 24,065,618,598 : x
  2. Step 2: Convert to fraction form
    10,792,084,347/24,065,618,598 = 24,065,618,598/x
  3. Step 3: Cross multiply
    10,792,084,347x = 24,065,618,598 × 24,065,618,598
  4. Step 4: Simplify right side
    10,792,084,347x = 579,153,998,504,403,468,288
  5. Step 5: Solve for x
    x = 579,153,998,504,403,468,288/10,792,084,347
  6. Step 6: Final answer
    x = 53,664,702,747.19

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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.