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Finding the Third Proportional to 2,279,411,442 and 3,405,699,054

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Solution

The third proportional to 2,279,411,442 and 3,405,699,054 is: 5,088,500,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279,411,442 : 3,405,699,054 = 3,405,699,054 : x
  2. Step 2: Convert to fraction form
    2,279,411,442/3,405,699,054 = 3,405,699,054/x
  3. Step 3: Cross multiply
    2,279,411,442x = 3,405,699,054 × 3,405,699,054
  4. Step 4: Simplify right side
    2,279,411,442x = 11,598,786,046,416,494,592
  5. Step 5: Solve for x
    x = 11,598,786,046,416,494,592/2,279,411,442
  6. Step 6: Final answer
    x = 5,088,500,405.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.