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Finding the Third Proportional to 528,449,315 and 1,105,082,614

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Solution

The third proportional to 528,449,315 and 1,105,082,614 is: 2,310,926,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,449,315 : 1,105,082,614 = 1,105,082,614 : x
  2. Step 2: Convert to fraction form
    528,449,315/1,105,082,614 = 1,105,082,614/x
  3. Step 3: Cross multiply
    528,449,315x = 1,105,082,614 × 1,105,082,614
  4. Step 4: Simplify right side
    528,449,315x = 1,221,207,583,765,072,896
  5. Step 5: Solve for x
    x = 1,221,207,583,765,072,896/528,449,315
  6. Step 6: Final answer
    x = 2,310,926,609.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.