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Finding the Third Proportional to 49,842,792,510 and 107,245,164,882

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Solution

The third proportional to 49,842,792,510 and 107,245,164,882 is: 230,756,039,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842,792,510 : 107,245,164,882 = 107,245,164,882 : x
  2. Step 2: Convert to fraction form
    49,842,792,510/107,245,164,882 = 107,245,164,882/x
  3. Step 3: Cross multiply
    49,842,792,510x = 107,245,164,882 × 107,245,164,882
  4. Step 4: Simplify right side
    49,842,792,510x = 11,501,525,390,567,365,672,960
  5. Step 5: Solve for x
    x = 11,501,525,390,567,365,672,960/49,842,792,510
  6. Step 6: Final answer
    x = 230,756,039,366.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.