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Finding the Third Proportional to 576,254,048 and 1,261,797,184

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Solution

The third proportional to 576,254,048 and 1,261,797,184 is: 2,762,899,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,254,048 : 1,261,797,184 = 1,261,797,184 : x
  2. Step 2: Convert to fraction form
    576,254,048/1,261,797,184 = 1,261,797,184/x
  3. Step 3: Cross multiply
    576,254,048x = 1,261,797,184 × 1,261,797,184
  4. Step 4: Simplify right side
    576,254,048x = 1,592,132,133,550,329,856
  5. Step 5: Solve for x
    x = 1,592,132,133,550,329,856/576,254,048
  6. Step 6: Final answer
    x = 2,762,899,695.15

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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.