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Finding the Third Proportional to 33,953,221.56 and 73,547,071.44

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Solution

The third proportional to 33,953,221.56 and 73,547,071.44 is: 159,312,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,953,221.56 : 73,547,071.44 = 73,547,071.44 : x
  2. Step 2: Convert to fraction form
    33,953,221.56/73,547,071.44 = 73,547,071.44/x
  3. Step 3: Cross multiply
    33,953,221.56x = 73,547,071.44 × 73,547,071.44
  4. Step 4: Simplify right side
    33,953,221.56x = 5,409,171,717,032,728
  5. Step 5: Solve for x
    x = 5,409,171,717,032,728/33,953,221.56
  6. Step 6: Final answer
    x = 159,312,473.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.