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Finding the Third Proportional to 5,797,605,190,298 and 12,613,096,804,543

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Solution

The third proportional to 5,797,605,190,298 and 12,613,096,804,543 is: 27,440,676,931,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,605,190,298 : 12,613,096,804,543 = 12,613,096,804,543 : x
  2. Step 2: Convert to fraction form
    5,797,605,190,298/12,613,096,804,543 = 12,613,096,804,543/x
  3. Step 3: Cross multiply
    5,797,605,190,298x = 12,613,096,804,543 × 12,613,096,804,543
  4. Step 4: Simplify right side
    5,797,605,190,298x = 159,090,211,000,772,844,020,826,112
  5. Step 5: Solve for x
    x = 159,090,211,000,772,844,020,826,112/5,797,605,190,298
  6. Step 6: Final answer
    x = 27,440,676,931,054.62

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