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Finding the Third Proportional to 1,193,064,296 and 2,592,643,246

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Solution

The third proportional to 1,193,064,296 and 2,592,643,246 is: 5,634,062,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,064,296 : 2,592,643,246 = 2,592,643,246 : x
  2. Step 2: Convert to fraction form
    1,193,064,296/2,592,643,246 = 2,592,643,246/x
  3. Step 3: Cross multiply
    1,193,064,296x = 2,592,643,246 × 2,592,643,246
  4. Step 4: Simplify right side
    1,193,064,296x = 6,721,799,001,029,416,960
  5. Step 5: Solve for x
    x = 6,721,799,001,029,416,960/1,193,064,296
  6. Step 6: Final answer
    x = 5,634,062,659.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.