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Finding the Third Proportional to 4,995,711,643,914 and 6,740,388,003,249

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Solution

The third proportional to 4,995,711,643,914 and 6,740,388,003,249 is: 9,094,366,062,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995,711,643,914 : 6,740,388,003,249 = 6,740,388,003,249 : x
  2. Step 2: Convert to fraction form
    4,995,711,643,914/6,740,388,003,249 = 6,740,388,003,249/x
  3. Step 3: Cross multiply
    4,995,711,643,914x = 6,740,388,003,249 × 6,740,388,003,249
  4. Step 4: Simplify right side
    4,995,711,643,914x = 45,432,830,434,343,043,169,517,568
  5. Step 5: Solve for x
    x = 45,432,830,434,343,043,169,517,568/4,995,711,643,914
  6. Step 6: Final answer
    x = 9,094,366,062,879.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.