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Finding the Third Proportional to 5,797,605,190,288 and 12,613,096,804,525

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Solution

The third proportional to 5,797,605,190,288 and 12,613,096,804,525 is: 27,440,676,931,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,288 : 12,613,096,804,525 = 12,613,096,804,525 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,288/12,613,096,804,525 = 12,613,096,804,525/x
  3. Step 3: Cross multiply
    5,797,605,190,288x = 12,613,096,804,525 × 12,613,096,804,525
  4. Step 4: Simplify right side
    5,797,605,190,288x = 159,090,211,000,318,780,078,292,992
  5. Step 5: Solve for x
    x = 159,090,211,000,318,780,078,292,992/5,797,605,190,288
  6. Step 6: Final answer
    x = 27,440,676,931,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.