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Finding the Third Proportional to 33,137,729.50 and 69,709,528.50

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Solution

The third proportional to 33,137,729.50 and 69,709,528.50 is: 146,643,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137,729.50 : 69,709,528.50 = 69,709,528.50 : x
  2. Step 2: Convert to fraction form
    33,137,729.50/69,709,528.50 = 69,709,528.50/x
  3. Step 3: Cross multiply
    33,137,729.50x = 69,709,528.50 × 69,709,528.50
  4. Step 4: Simplify right side
    33,137,729.50x = 4,859,418,363,692,312
  5. Step 5: Solve for x
    x = 4,859,418,363,692,312/33,137,729.50
  6. Step 6: Final answer
    x = 146,643,069.31

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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.