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Finding the Third Proportional to 283,117,005 and 605,581,556

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Solution

The third proportional to 283,117,005 and 605,581,556 is: 1,295,326,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,117,005 : 605,581,556 = 605,581,556 : x
  2. Step 2: Convert to fraction form
    283,117,005/605,581,556 = 605,581,556/x
  3. Step 3: Cross multiply
    283,117,005x = 605,581,556 × 605,581,556
  4. Step 4: Simplify right side
    283,117,005x = 366,729,020,967,381,120
  5. Step 5: Solve for x
    x = 366,729,020,967,381,120/283,117,005
  6. Step 6: Final answer
    x = 1,295,326,718.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.