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Finding the Third Proportional to 38,245,886.50 and 81,948,904.50

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Solution

The third proportional to 38,245,886.50 and 81,948,904.50 is: 175,590,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245,886.50 : 81,948,904.50 = 81,948,904.50 : x
  2. Step 2: Convert to fraction form
    38,245,886.50/81,948,904.50 = 81,948,904.50/x
  3. Step 3: Cross multiply
    38,245,886.50x = 81,948,904.50 × 81,948,904.50
  4. Step 4: Simplify right side
    38,245,886.50x = 6,715,622,948,750,120
  5. Step 5: Solve for x
    x = 6,715,622,948,750,120/38,245,886.50
  6. Step 6: Final answer
    x = 175,590,725.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.