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Finding the Third Proportional to 7,895,691,666.75 and 17,556,747,295.50

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Solution

The third proportional to 7,895,691,666.75 and 17,556,747,295.50 is: 39,038,932,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895,691,666.75 : 17,556,747,295.50 = 17,556,747,295.50 : x
  2. Step 2: Convert to fraction form
    7,895,691,666.75/17,556,747,295.50 = 17,556,747,295.50/x
  3. Step 3: Cross multiply
    7,895,691,666.75x = 17,556,747,295.50 × 17,556,747,295.50
  4. Step 4: Simplify right side
    7,895,691,666.75x = 308,239,375,598,046,543,872
  5. Step 5: Solve for x
    x = 308,239,375,598,046,543,872/7,895,691,666.75
  6. Step 6: Final answer
    x = 39,038,932,699.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.