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Finding the Third Proportional to 4,097,661,289 and 8,816,808,362

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Solution

The third proportional to 4,097,661,289 and 8,816,808,362 is: 18,970,848,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,661,289 : 8,816,808,362 = 8,816,808,362 : x
  2. Step 2: Convert to fraction form
    4,097,661,289/8,816,808,362 = 8,816,808,362/x
  3. Step 3: Cross multiply
    4,097,661,289x = 8,816,808,362 × 8,816,808,362
  4. Step 4: Simplify right side
    4,097,661,289x = 77,736,109,692,233,121,792
  5. Step 5: Solve for x
    x = 77,736,109,692,233,121,792/4,097,661,289
  6. Step 6: Final answer
    x = 18,970,848,054.45

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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.