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Finding the Third Proportional to 33,888,289 and 74,245,658

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Solution

The third proportional to 33,888,289 and 74,245,658 is: 162,664,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,888,289 : 74,245,658 = 74,245,658 : x
  2. Step 2: Convert to fraction form
    33,888,289/74,245,658 = 74,245,658/x
  3. Step 3: Cross multiply
    33,888,289x = 74,245,658 × 74,245,658
  4. Step 4: Simplify right side
    33,888,289x = 5,512,417,731,852,964
  5. Step 5: Solve for x
    x = 5,512,417,731,852,964/33,888,289
  6. Step 6: Final answer
    x = 162,664,386.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.