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Finding the Third Proportional to 832,461,831,291 and 1,324,610,422,389

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Solution

The third proportional to 832,461,831,291 and 1,324,610,422,389 is: 2,107,715,579,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,461,831,291 : 1,324,610,422,389 = 1,324,610,422,389 : x
  2. Step 2: Convert to fraction form
    832,461,831,291/1,324,610,422,389 = 1,324,610,422,389/x
  3. Step 3: Cross multiply
    832,461,831,291x = 1,324,610,422,389 × 1,324,610,422,389
  4. Step 4: Simplify right side
    832,461,831,291x = 1,754,592,771,101,565,015,556,096
  5. Step 5: Solve for x
    x = 1,754,592,771,101,565,015,556,096/832,461,831,291
  6. Step 6: Final answer
    x = 2,107,715,579,440.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.