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Finding the Third Proportional to 3,427,571,455.50 and 4,736,125,099.50

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Solution

The third proportional to 3,427,571,455.50 and 4,736,125,099.50 is: 6,544,248,967.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,571,455.50 : 4,736,125,099.50 = 4,736,125,099.50 : x
  2. Step 2: Convert to fraction form
    3,427,571,455.50/4,736,125,099.50 = 4,736,125,099.50/x
  3. Step 3: Cross multiply
    3,427,571,455.50x = 4,736,125,099.50 × 4,736,125,099.50
  4. Step 4: Simplify right side
    3,427,571,455.50x = 22,430,880,958,113,886,208
  5. Step 5: Solve for x
    x = 22,430,880,958,113,886,208/3,427,571,455.50
  6. Step 6: Final answer
    x = 6,544,248,967.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.