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Finding the Third Proportional to 6,540,835,299 and 9,808,850,649

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Solution

The third proportional to 6,540,835,299 and 9,808,850,649 is: 14,709,673,406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,835,299 : 9,808,850,649 = 9,808,850,649 : x
  2. Step 2: Convert to fraction form
    6,540,835,299/9,808,850,649 = 9,808,850,649/x
  3. Step 3: Cross multiply
    6,540,835,299x = 9,808,850,649 × 9,808,850,649
  4. Step 4: Simplify right side
    6,540,835,299x = 96,213,551,054,387,724,288
  5. Step 5: Solve for x
    x = 96,213,551,054,387,724,288/6,540,835,299
  6. Step 6: Final answer
    x = 14,709,673,406.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.