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Finding the Third Proportional to 33,137,764 and 69,709,596

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Solution

The third proportional to 33,137,764 and 69,709,596 is: 146,643,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137,764 : 69,709,596 = 69,709,596 : x
  2. Step 2: Convert to fraction form
    33,137,764/69,709,596 = 69,709,596/x
  3. Step 3: Cross multiply
    33,137,764x = 69,709,596 × 69,709,596
  4. Step 4: Simplify right side
    33,137,764x = 4,859,427,774,483,216
  5. Step 5: Solve for x
    x = 4,859,427,774,483,216/33,137,764
  6. Step 6: Final answer
    x = 146,643,200.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.