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Finding the Third Proportional to 909,546,090 and 2,000,449,108

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Solution

The third proportional to 909,546,090 and 2,000,449,108 is: 4,399,773,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,546,090 : 2,000,449,108 = 2,000,449,108 : x
  2. Step 2: Convert to fraction form
    909,546,090/2,000,449,108 = 2,000,449,108/x
  3. Step 3: Cross multiply
    909,546,090x = 2,000,449,108 × 2,000,449,108
  4. Step 4: Simplify right side
    909,546,090x = 4,001,796,633,697,995,776
  5. Step 5: Solve for x
    x = 4,001,796,633,697,995,776/909,546,090
  6. Step 6: Final answer
    x = 4,399,773,334.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.