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Finding the Third Proportional to 27,352,937,367 and 40,868,388,742.50

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Solution

The third proportional to 27,352,937,367 and 40,868,388,742.50 is: 61,062,005,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,352,937,367 : 40,868,388,742.50 = 40,868,388,742.50 : x
  2. Step 2: Convert to fraction form
    27,352,937,367/40,868,388,742.50 = 40,868,388,742.50/x
  3. Step 3: Cross multiply
    27,352,937,367x = 40,868,388,742.50 × 40,868,388,742.50
  4. Step 4: Simplify right side
    27,352,937,367x = 1,670,225,198,408,100,741,120
  5. Step 5: Solve for x
    x = 1,670,225,198,408,100,741,120/27,352,937,367
  6. Step 6: Final answer
    x = 61,062,005,005.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.