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Finding the Third Proportional to 2,598,991,967 and 5,674,243,786

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Solution

The third proportional to 2,598,991,967 and 5,674,243,786 is: 12,388,280,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,991,967 : 5,674,243,786 = 5,674,243,786 : x
  2. Step 2: Convert to fraction form
    2,598,991,967/5,674,243,786 = 5,674,243,786/x
  3. Step 3: Cross multiply
    2,598,991,967x = 5,674,243,786 × 5,674,243,786
  4. Step 4: Simplify right side
    2,598,991,967x = 32,197,042,542,959,611,904
  5. Step 5: Solve for x
    x = 32,197,042,542,959,611,904/2,598,991,967
  6. Step 6: Final answer
    x = 12,388,280,899.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.