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Finding the Third Proportional to 598,409,017,696 and 1,316,498,382,272

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Solution

The third proportional to 598,409,017,696 and 1,316,498,382,272 is: 2,896,293,236,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,409,017,696 : 1,316,498,382,272 = 1,316,498,382,272 : x
  2. Step 2: Convert to fraction form
    598,409,017,696/1,316,498,382,272 = 1,316,498,382,272/x
  3. Step 3: Cross multiply
    598,409,017,696x = 1,316,498,382,272 × 1,316,498,382,272
  4. Step 4: Simplify right side
    598,409,017,696x = 1,733,167,990,524,793,011,044,352
  5. Step 5: Solve for x
    x = 1,733,167,990,524,793,011,044,352/598,409,017,696
  6. Step 6: Final answer
    x = 2,896,293,236,351.71

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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.