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Finding the Third Proportional to 6,977,626,965 and 15,311,004,228

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Solution

The third proportional to 6,977,626,965 and 15,311,004,228 is: 33,596,930,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,626,965 : 15,311,004,228 = 15,311,004,228 : x
  2. Step 2: Convert to fraction form
    6,977,626,965/15,311,004,228 = 15,311,004,228/x
  3. Step 3: Cross multiply
    6,977,626,965x = 15,311,004,228 × 15,311,004,228
  4. Step 4: Simplify right side
    6,977,626,965x = 234,426,850,469,833,867,264
  5. Step 5: Solve for x
    x = 234,426,850,469,833,867,264/6,977,626,965
  6. Step 6: Final answer
    x = 33,596,930,825.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.