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Finding the Third Proportional to 2,047,255,754 and 4,420,724,116

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Solution

The third proportional to 2,047,255,754 and 4,420,724,116 is: 9,545,852,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,255,754 : 4,420,724,116 = 4,420,724,116 : x
  2. Step 2: Convert to fraction form
    2,047,255,754/4,420,724,116 = 4,420,724,116/x
  3. Step 3: Cross multiply
    2,047,255,754x = 4,420,724,116 × 4,420,724,116
  4. Step 4: Simplify right side
    2,047,255,754x = 19,542,801,709,783,982,080
  5. Step 5: Solve for x
    x = 19,542,801,709,783,982,080/2,047,255,754
  6. Step 6: Final answer
    x = 9,545,852,623.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.