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Finding the Third Proportional to 576,896,663 and 1,174,181,215

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Solution

The third proportional to 576,896,663 and 1,174,181,215 is: 2,389,858,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,896,663 : 1,174,181,215 = 1,174,181,215 : x
  2. Step 2: Convert to fraction form
    576,896,663/1,174,181,215 = 1,174,181,215/x
  3. Step 3: Cross multiply
    576,896,663x = 1,174,181,215 × 1,174,181,215
  4. Step 4: Simplify right side
    576,896,663x = 1,378,701,525,658,876,160
  5. Step 5: Solve for x
    x = 1,378,701,525,658,876,160/576,896,663
  6. Step 6: Final answer
    x = 2,389,858,728.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.