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Finding the Third Proportional to 3,583,025,135.72 and 7,854,797,807.44

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Solution

The third proportional to 3,583,025,135.72 and 7,854,797,807.44 is: 17,219,485,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583,025,135.72 : 7,854,797,807.44 = 7,854,797,807.44 : x
  2. Step 2: Convert to fraction form
    3,583,025,135.72/7,854,797,807.44 = 7,854,797,807.44/x
  3. Step 3: Cross multiply
    3,583,025,135.72x = 7,854,797,807.44 × 7,854,797,807.44
  4. Step 4: Simplify right side
    3,583,025,135.72x = 61,697,848,595,726,532,608
  5. Step 5: Solve for x
    x = 61,697,848,595,726,532,608/3,583,025,135.72
  6. Step 6: Final answer
    x = 17,219,485,283.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.