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Finding the Third Proportional to 687,782,272 and 1,453,194,945

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Solution

The third proportional to 687,782,272 and 1,453,194,945 is: 3,070,412,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,782,272 : 1,453,194,945 = 1,453,194,945 : x
  2. Step 2: Convert to fraction form
    687,782,272/1,453,194,945 = 1,453,194,945/x
  3. Step 3: Cross multiply
    687,782,272x = 1,453,194,945 × 1,453,194,945
  4. Step 4: Simplify right side
    687,782,272x = 2,111,775,548,173,553,152
  5. Step 5: Solve for x
    x = 2,111,775,548,173,553,152/687,782,272
  6. Step 6: Final answer
    x = 3,070,412,882.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.