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Finding the Third Proportional to 5,838,656,978.25 and 12,091,225,576.50

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Solution

The third proportional to 5,838,656,978.25 and 12,091,225,576.50 is: 25,039,617,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838,656,978.25 : 12,091,225,576.50 = 12,091,225,576.50 : x
  2. Step 2: Convert to fraction form
    5,838,656,978.25/12,091,225,576.50 = 12,091,225,576.50/x
  3. Step 3: Cross multiply
    5,838,656,978.25x = 12,091,225,576.50 × 12,091,225,576.50
  4. Step 4: Simplify right side
    5,838,656,978.25x = 146,197,735,941,807,751,168
  5. Step 5: Solve for x
    x = 146,197,735,941,807,751,168/5,838,656,978.25
  6. Step 6: Final answer
    x = 25,039,617,241.85

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.