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Finding the Third Proportional to 33,019,326 and 70,034,301

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Solution

The third proportional to 33,019,326 and 70,034,301 is: 148,543,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019,326 : 70,034,301 = 70,034,301 : x
  2. Step 2: Convert to fraction form
    33,019,326/70,034,301 = 70,034,301/x
  3. Step 3: Cross multiply
    33,019,326x = 70,034,301 × 70,034,301
  4. Step 4: Simplify right side
    33,019,326x = 4,904,803,316,558,601
  5. Step 5: Solve for x
    x = 4,904,803,316,558,601/33,019,326
  6. Step 6: Final answer
    x = 148,543,411.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.