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Finding the Third Proportional to 5,141,357,189 and 7,104,187,656

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Solution

The third proportional to 5,141,357,189 and 7,104,187,656 is: 9,816,373,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141,357,189 : 7,104,187,656 = 7,104,187,656 : x
  2. Step 2: Convert to fraction form
    5,141,357,189/7,104,187,656 = 7,104,187,656/x
  3. Step 3: Cross multiply
    5,141,357,189x = 7,104,187,656 × 7,104,187,656
  4. Step 4: Simplify right side
    5,141,357,189x = 50,469,482,251,662,778,368
  5. Step 5: Solve for x
    x = 50,469,482,251,662,778,368/5,141,357,189
  6. Step 6: Final answer
    x = 9,816,373,458.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.