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Finding the Third Proportional to 7,071,776,390 and 15,399,082,148

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Solution

The third proportional to 7,071,776,390 and 15,399,082,148 is: 33,532,130,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,776,390 : 15,399,082,148 = 15,399,082,148 : x
  2. Step 2: Convert to fraction form
    7,071,776,390/15,399,082,148 = 15,399,082,148/x
  3. Step 3: Cross multiply
    7,071,776,390x = 15,399,082,148 × 15,399,082,148
  4. Step 4: Simplify right side
    7,071,776,390x = 237,131,731,000,852,283,392
  5. Step 5: Solve for x
    x = 237,131,731,000,852,283,392/7,071,776,390
  6. Step 6: Final answer
    x = 33,532,130,814.57

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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.