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Finding the Third Proportional to 38,653,106.34 and 83,358,735.19

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Solution

The third proportional to 38,653,106.34 and 83,358,735.19 is: 179,770,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,106.34 : 83,358,735.19 = 83,358,735.19 : x
  2. Step 2: Convert to fraction form
    38,653,106.34/83,358,735.19 = 83,358,735.19/x
  3. Step 3: Cross multiply
    38,653,106.34x = 83,358,735.19 × 83,358,735.19
  4. Step 4: Simplify right side
    38,653,106.34x = 6,948,678,732,059,751
  5. Step 5: Solve for x
    x = 6,948,678,732,059,751/38,653,106.34
  6. Step 6: Final answer
    x = 179,770,253.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.