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Finding the Third Proportional to 4,159,047,435 and 9,247,998,522

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Solution

The third proportional to 4,159,047,435 and 9,247,998,522 is: 20,563,717,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,047,435 : 9,247,998,522 = 9,247,998,522 : x
  2. Step 2: Convert to fraction form
    4,159,047,435/9,247,998,522 = 9,247,998,522/x
  3. Step 3: Cross multiply
    4,159,047,435x = 9,247,998,522 × 9,247,998,522
  4. Step 4: Simplify right side
    4,159,047,435x = 85,525,476,662,914,187,264
  5. Step 5: Solve for x
    x = 85,525,476,662,914,187,264/4,159,047,435
  6. Step 6: Final answer
    x = 20,563,717,533.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.