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Finding the Third Proportional to 1,884,689,856 and 4,143,248,456

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Solution

The third proportional to 1,884,689,856 and 4,143,248,456 is: 9,108,399,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884,689,856 : 4,143,248,456 = 4,143,248,456 : x
  2. Step 2: Convert to fraction form
    1,884,689,856/4,143,248,456 = 4,143,248,456/x
  3. Step 3: Cross multiply
    1,884,689,856x = 4,143,248,456 × 4,143,248,456
  4. Step 4: Simplify right side
    1,884,689,856x = 17,166,507,768,146,384,896
  5. Step 5: Solve for x
    x = 17,166,507,768,146,384,896/1,884,689,856
  6. Step 6: Final answer
    x = 9,108,399,301.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.