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Finding the Third Proportional to 5,232,807,807 and 8,043,200,772

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Solution

The third proportional to 5,232,807,807 and 8,043,200,772 is: 12,362,976,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,807,807 : 8,043,200,772 = 8,043,200,772 : x
  2. Step 2: Convert to fraction form
    5,232,807,807/8,043,200,772 = 8,043,200,772/x
  3. Step 3: Cross multiply
    5,232,807,807x = 8,043,200,772 × 8,043,200,772
  4. Step 4: Simplify right side
    5,232,807,807x = 64,693,078,658,701,393,920
  5. Step 5: Solve for x
    x = 64,693,078,658,701,393,920/5,232,807,807
  6. Step 6: Final answer
    x = 12,362,976,253.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.