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Finding the Third Proportional to 797,484,680,125 and 1,715,922,638,029.80

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Solution

The third proportional to 797,484,680,125 and 1,715,922,638,029.80 is: 3,692,096,629,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,484,680,125 : 1,715,922,638,029.80 = 1,715,922,638,029.80 : x
  2. Step 2: Convert to fraction form
    797,484,680,125/1,715,922,638,029.80 = 1,715,922,638,029.80/x
  3. Step 3: Cross multiply
    797,484,680,125x = 1,715,922,638,029.80 × 1,715,922,638,029.80
  4. Step 4: Simplify right side
    797,484,680,125x = 2,944,390,499,703,148,402,180,096
  5. Step 5: Solve for x
    x = 2,944,390,499,703,148,402,180,096/797,484,680,125
  6. Step 6: Final answer
    x = 3,692,096,629,670.22

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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.