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Finding the Third Proportional to 7,071,776,388 and 15,399,082,144

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Solution

The third proportional to 7,071,776,388 and 15,399,082,144 is: 33,532,130,806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,776,388 : 15,399,082,144 = 15,399,082,144 : x
  2. Step 2: Convert to fraction form
    7,071,776,388/15,399,082,144 = 15,399,082,144/x
  3. Step 3: Cross multiply
    7,071,776,388x = 15,399,082,144 × 15,399,082,144
  4. Step 4: Simplify right side
    7,071,776,388x = 237,131,730,877,659,643,904
  5. Step 5: Solve for x
    x = 237,131,730,877,659,643,904/7,071,776,388
  6. Step 6: Final answer
    x = 33,532,130,806.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.