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Finding the Third Proportional to 6,540,836,218 and 9,808,852,999

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Solution

The third proportional to 6,540,836,218 and 9,808,852,999 is: 14,709,678,388.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540,836,218 : 9,808,852,999 = 9,808,852,999 : x
  2. Step 2: Convert to fraction form
    6,540,836,218/9,808,852,999 = 9,808,852,999/x
  3. Step 3: Cross multiply
    6,540,836,218x = 9,808,852,999 × 9,808,852,999
  4. Step 4: Simplify right side
    6,540,836,218x = 96,213,597,155,991,289,856
  5. Step 5: Solve for x
    x = 96,213,597,155,991,289,856/6,540,836,218
  6. Step 6: Final answer
    x = 14,709,678,388.10

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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.