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Finding the Third Proportional to 22,863,795,684 and 49,035,754,488

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Solution

The third proportional to 22,863,795,684 and 49,035,754,488 is: 105,166,493,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,863,795,684 : 49,035,754,488 = 49,035,754,488 : x
  2. Step 2: Convert to fraction form
    22,863,795,684/49,035,754,488 = 49,035,754,488/x
  3. Step 3: Cross multiply
    22,863,795,684x = 49,035,754,488 × 49,035,754,488
  4. Step 4: Simplify right side
    22,863,795,684x = 2,404,505,218,207,412,387,840
  5. Step 5: Solve for x
    x = 2,404,505,218,207,412,387,840/22,863,795,684
  6. Step 6: Final answer
    x = 105,166,493,413.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.