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Finding the Third Proportional to 34,112,355.75 and 55,696,506.19

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Solution

The third proportional to 34,112,355.75 and 55,696,506.19 is: 90,937,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,112,355.75 : 55,696,506.19 = 55,696,506.19 : x
  2. Step 2: Convert to fraction form
    34,112,355.75/55,696,506.19 = 55,696,506.19/x
  3. Step 3: Cross multiply
    34,112,355.75x = 55,696,506.19 × 55,696,506.19
  4. Step 4: Simplify right side
    34,112,355.75x = 3,102,100,801,494,226
  5. Step 5: Solve for x
    x = 3,102,100,801,494,226/34,112,355.75
  6. Step 6: Final answer
    x = 90,937,747.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.