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Finding the Third Proportional to 576,896,661 and 1,174,181,211

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Solution

The third proportional to 576,896,661 and 1,174,181,211 is: 2,389,858,720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,896,661 : 1,174,181,211 = 1,174,181,211 : x
  2. Step 2: Convert to fraction form
    576,896,661/1,174,181,211 = 1,174,181,211/x
  3. Step 3: Cross multiply
    576,896,661x = 1,174,181,211 × 1,174,181,211
  4. Step 4: Simplify right side
    576,896,661x = 1,378,701,516,265,426,432
  5. Step 5: Solve for x
    x = 1,378,701,516,265,426,432/576,896,661
  6. Step 6: Final answer
    x = 2,389,858,720.76

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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.