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Finding the Third Proportional to 384,169,344 and 841,198,080

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Solution

The third proportional to 384,169,344 and 841,198,080 is: 1,841,933,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,169,344 : 841,198,080 = 841,198,080 : x
  2. Step 2: Convert to fraction form
    384,169,344/841,198,080 = 841,198,080/x
  3. Step 3: Cross multiply
    384,169,344x = 841,198,080 × 841,198,080
  4. Step 4: Simplify right side
    384,169,344x = 707,614,209,795,686,400
  5. Step 5: Solve for x
    x = 707,614,209,795,686,400/384,169,344
  6. Step 6: Final answer
    x = 1,841,933,045.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.