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Finding the Third Proportional to 3,427,571,458 and 4,736,125,102

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Solution

The third proportional to 3,427,571,458 and 4,736,125,102 is: 6,544,248,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,571,458 : 4,736,125,102 = 4,736,125,102 : x
  2. Step 2: Convert to fraction form
    3,427,571,458/4,736,125,102 = 4,736,125,102/x
  3. Step 3: Cross multiply
    3,427,571,458x = 4,736,125,102 × 4,736,125,102
  4. Step 4: Simplify right side
    3,427,571,458x = 22,430,880,981,794,508,800
  5. Step 5: Solve for x
    x = 22,430,880,981,794,508,800/3,427,571,458
  6. Step 6: Final answer
    x = 6,544,248,969.47

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