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Finding the Third Proportional to 596,823,848 and 1,284,346,992

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Solution

The third proportional to 596,823,848 and 1,284,346,992 is: 2,763,876,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,823,848 : 1,284,346,992 = 1,284,346,992 : x
  2. Step 2: Convert to fraction form
    596,823,848/1,284,346,992 = 1,284,346,992/x
  3. Step 3: Cross multiply
    596,823,848x = 1,284,346,992 × 1,284,346,992
  4. Step 4: Simplify right side
    596,823,848x = 1,649,547,195,859,448,064
  5. Step 5: Solve for x
    x = 1,649,547,195,859,448,064/596,823,848
  6. Step 6: Final answer
    x = 2,763,876,144.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.