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Finding the Third Proportional to 2,143,830,888 and 3,278,812,608

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Solution

The third proportional to 2,143,830,888 and 3,278,812,608 is: 5,014,673,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,830,888 : 3,278,812,608 = 3,278,812,608 : x
  2. Step 2: Convert to fraction form
    2,143,830,888/3,278,812,608 = 3,278,812,608/x
  3. Step 3: Cross multiply
    2,143,830,888x = 3,278,812,608 × 3,278,812,608
  4. Step 4: Simplify right side
    2,143,830,888x = 10,750,612,118,379,761,664
  5. Step 5: Solve for x
    x = 10,750,612,118,379,761,664/2,143,830,888
  6. Step 6: Final answer
    x = 5,014,673,582.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.