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Finding the Third Proportional to 5,797,605,190,306 and 12,613,096,804,560

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Solution

The third proportional to 5,797,605,190,306 and 12,613,096,804,560 is: 27,440,676,931,090.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,306 : 12,613,096,804,560 = 12,613,096,804,560 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,306/12,613,096,804,560 = 12,613,096,804,560/x
  3. Step 3: Cross multiply
    5,797,605,190,306x = 12,613,096,804,560 × 12,613,096,804,560
  4. Step 4: Simplify right side
    5,797,605,190,306x = 159,090,211,001,201,687,915,397,120
  5. Step 5: Solve for x
    x = 159,090,211,001,201,687,915,397,120/5,797,605,190,306
  6. Step 6: Final answer
    x = 27,440,676,931,090.72

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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.