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Finding the Third Proportional to 39,569,596 and 85,907,138

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Solution

The third proportional to 39,569,596 and 85,907,138 is: 186,507,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569,596 : 85,907,138 = 85,907,138 : x
  2. Step 2: Convert to fraction form
    39,569,596/85,907,138 = 85,907,138/x
  3. Step 3: Cross multiply
    39,569,596x = 85,907,138 × 85,907,138
  4. Step 4: Simplify right side
    39,569,596x = 7,380,036,359,351,044
  5. Step 5: Solve for x
    x = 7,380,036,359,351,044/39,569,596
  6. Step 6: Final answer
    x = 186,507,751.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.