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Finding the Third Proportional to 33,153,362.25 and 69,742,293

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Solution

The third proportional to 33,153,362.25 and 69,742,293 is: 146,711,739.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153,362.25 : 69,742,293 = 69,742,293 : x
  2. Step 2: Convert to fraction form
    33,153,362.25/69,742,293 = 69,742,293/x
  3. Step 3: Cross multiply
    33,153,362.25x = 69,742,293 × 69,742,293
  4. Step 4: Simplify right side
    33,153,362.25x = 4,863,987,432,897,849
  5. Step 5: Solve for x
    x = 4,863,987,432,897,849/33,153,362.25
  6. Step 6: Final answer
    x = 146,711,739.11

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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.