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Finding the Third Proportional to 2,458,039,980 and 3,593,740,403

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Solution

The third proportional to 2,458,039,980 and 3,593,740,403 is: 5,254,174,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458,039,980 : 3,593,740,403 = 3,593,740,403 : x
  2. Step 2: Convert to fraction form
    2,458,039,980/3,593,740,403 = 3,593,740,403/x
  3. Step 3: Cross multiply
    2,458,039,980x = 3,593,740,403 × 3,593,740,403
  4. Step 4: Simplify right side
    2,458,039,980x = 12,914,970,084,154,601,472
  5. Step 5: Solve for x
    x = 12,914,970,084,154,601,472/2,458,039,980
  6. Step 6: Final answer
    x = 5,254,174,134.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.