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Finding the Third Proportional to 38,245,893.19 and 81,948,916.69

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Solution

The third proportional to 38,245,893.19 and 81,948,916.69 is: 175,590,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245,893.19 : 81,948,916.69 = 81,948,916.69 : x
  2. Step 2: Convert to fraction form
    38,245,893.19/81,948,916.69 = 81,948,916.69/x
  3. Step 3: Cross multiply
    38,245,893.19x = 81,948,916.69 × 81,948,916.69
  4. Step 4: Simplify right side
    38,245,893.19x = 6,715,624,946,254,816
  5. Step 5: Solve for x
    x = 6,715,624,946,254,816/38,245,893.19
  6. Step 6: Final answer
    x = 175,590,746.79

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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.