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Finding the Third Proportional to 487,311,161 and 1,063,920,992

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Solution

The third proportional to 487,311,161 and 1,063,920,992 is: 2,322,803,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,311,161 : 1,063,920,992 = 1,063,920,992 : x
  2. Step 2: Convert to fraction form
    487,311,161/1,063,920,992 = 1,063,920,992/x
  3. Step 3: Cross multiply
    487,311,161x = 1,063,920,992 × 1,063,920,992
  4. Step 4: Simplify right side
    487,311,161x = 1,131,927,877,218,264,064
  5. Step 5: Solve for x
    x = 1,131,927,877,218,264,064/487,311,161
  6. Step 6: Final answer
    x = 2,322,803,103.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.