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Finding the Third Proportional to 5,797,605,190,324 and 12,613,096,804,597

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Solution

The third proportional to 5,797,605,190,324 and 12,613,096,804,597 is: 27,440,676,931,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,324 : 12,613,096,804,597 = 12,613,096,804,597 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,324/12,613,096,804,597 = 12,613,096,804,597/x
  3. Step 3: Cross multiply
    5,797,605,190,324x = 12,613,096,804,597 × 12,613,096,804,597
  4. Step 4: Simplify right side
    5,797,605,190,324x = 159,090,211,002,135,035,848,425,472
  5. Step 5: Solve for x
    x = 159,090,211,002,135,035,848,425,472/5,797,605,190,324
  6. Step 6: Final answer
    x = 27,440,676,931,166.52

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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.