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Finding the Third Proportional to 797,484,680,852 and 1,715,922,640,014

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Solution

The third proportional to 797,484,680,852 and 1,715,922,640,014 is: 3,692,096,634,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,484,680,852 : 1,715,922,640,014 = 1,715,922,640,014 : x
  2. Step 2: Convert to fraction form
    797,484,680,852/1,715,922,640,014 = 1,715,922,640,014/x
  3. Step 3: Cross multiply
    797,484,680,852x = 1,715,922,640,014 × 1,715,922,640,014
  4. Step 4: Simplify right side
    797,484,680,852x = 2,944,390,506,512,615,575,912,448
  5. Step 5: Solve for x
    x = 2,944,390,506,512,615,575,912,448/797,484,680,852
  6. Step 6: Final answer
    x = 3,692,096,634,843.13

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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.