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Finding the Third Proportional to 5,797,605,190,314 and 12,613,096,804,577

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Solution

The third proportional to 5,797,605,190,314 and 12,613,096,804,577 is: 27,440,676,931,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,314 : 12,613,096,804,577 = 12,613,096,804,577 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,314/12,613,096,804,577 = 12,613,096,804,577/x
  3. Step 3: Cross multiply
    5,797,605,190,314x = 12,613,096,804,577 × 12,613,096,804,577
  4. Step 4: Simplify right side
    5,797,605,190,314x = 159,090,211,001,630,531,809,968,128
  5. Step 5: Solve for x
    x = 159,090,211,001,630,531,809,968,128/5,797,605,190,314
  6. Step 6: Final answer
    x = 27,440,676,931,126.82

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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.