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Finding the Third Proportional to 1,184,266,386 and 2,566,228,824

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Solution

The third proportional to 1,184,266,386 and 2,566,228,824 is: 5,560,852,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,266,386 : 2,566,228,824 = 2,566,228,824 : x
  2. Step 2: Convert to fraction form
    1,184,266,386/2,566,228,824 = 2,566,228,824/x
  3. Step 3: Cross multiply
    1,184,266,386x = 2,566,228,824 × 2,566,228,824
  4. Step 4: Simplify right side
    1,184,266,386x = 6,585,530,377,128,423,424
  5. Step 5: Solve for x
    x = 6,585,530,377,128,423,424/1,184,266,386
  6. Step 6: Final answer
    x = 5,560,852,233.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.