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Finding the Third Proportional to 5,797,605,190,318 and 12,613,096,804,584

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Solution

The third proportional to 5,797,605,190,318 and 12,613,096,804,584 is: 27,440,676,931,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,318 : 12,613,096,804,584 = 12,613,096,804,584 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,318/12,613,096,804,584 = 12,613,096,804,584/x
  3. Step 3: Cross multiply
    5,797,605,190,318x = 12,613,096,804,584 × 12,613,096,804,584
  4. Step 4: Simplify right side
    5,797,605,190,318x = 159,090,211,001,807,106,505,441,280
  5. Step 5: Solve for x
    x = 159,090,211,001,807,106,505,441,280/5,797,605,190,318
  6. Step 6: Final answer
    x = 27,440,676,931,138.35

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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.