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Finding the Third Proportional to 33,137,730 and 69,709,529.25

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Solution

The third proportional to 33,137,730 and 69,709,529.25 is: 146,643,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137,730 : 69,709,529.25 = 69,709,529.25 : x
  2. Step 2: Convert to fraction form
    33,137,730/69,709,529.25 = 69,709,529.25/x
  3. Step 3: Cross multiply
    33,137,730x = 69,709,529.25 × 69,709,529.25
  4. Step 4: Simplify right side
    33,137,730x = 4,859,418,468,256,606
  5. Step 5: Solve for x
    x = 4,859,418,468,256,606/33,137,730
  6. Step 6: Final answer
    x = 146,643,070.25

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Why These Related Problems?

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