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Finding the Third Proportional to 550,992,348 and 1,198,835,910

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Solution

The third proportional to 550,992,348 and 1,198,835,910 is: 2,608,398,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,992,348 : 1,198,835,910 = 1,198,835,910 : x
  2. Step 2: Convert to fraction form
    550,992,348/1,198,835,910 = 1,198,835,910/x
  3. Step 3: Cross multiply
    550,992,348x = 1,198,835,910 × 1,198,835,910
  4. Step 4: Simplify right side
    550,992,348x = 1,437,207,539,105,528,064
  5. Step 5: Solve for x
    x = 1,437,207,539,105,528,064/550,992,348
  6. Step 6: Final answer
    x = 2,608,398,364.01

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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.