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Finding the Third Proportional to 6,947,115,237 and 10,734,444,661

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Solution

The third proportional to 6,947,115,237 and 10,734,444,661 is: 16,586,496,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,115,237 : 10,734,444,661 = 10,734,444,661 : x
  2. Step 2: Convert to fraction form
    6,947,115,237/10,734,444,661 = 10,734,444,661/x
  3. Step 3: Cross multiply
    6,947,115,237x = 10,734,444,661 × 10,734,444,661
  4. Step 4: Simplify right side
    6,947,115,237x = 115,228,302,180,071,407,616
  5. Step 5: Solve for x
    x = 115,228,302,180,071,407,616/6,947,115,237
  6. Step 6: Final answer
    x = 16,586,496,444.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.