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Finding the Third Proportional to 3,026,635,605 and 4,260,312,610

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Solution

The third proportional to 3,026,635,605 and 4,260,312,610 is: 5,996,844,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,635,605 : 4,260,312,610 = 4,260,312,610 : x
  2. Step 2: Convert to fraction form
    3,026,635,605/4,260,312,610 = 4,260,312,610/x
  3. Step 3: Cross multiply
    3,026,635,605x = 4,260,312,610 × 4,260,312,610
  4. Step 4: Simplify right side
    3,026,635,605x = 18,150,263,534,925,012,992
  5. Step 5: Solve for x
    x = 18,150,263,534,925,012,992/3,026,635,605
  6. Step 6: Final answer
    x = 5,996,844,649.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.