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Finding the Third Proportional to 479,849,707,517 and 999,416,293,204

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Solution

The third proportional to 479,849,707,517 and 999,416,293,204 is: 2,081,553,685,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,849,707,517 : 999,416,293,204 = 999,416,293,204 : x
  2. Step 2: Convert to fraction form
    479,849,707,517/999,416,293,204 = 999,416,293,204/x
  3. Step 3: Cross multiply
    479,849,707,517x = 999,416,293,204 × 999,416,293,204
  4. Step 4: Simplify right side
    479,849,707,517x = 998,832,927,121,623,750,803,456
  5. Step 5: Solve for x
    x = 998,832,927,121,623,750,803,456/479,849,707,517
  6. Step 6: Final answer
    x = 2,081,553,685,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.