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Finding the Third Proportional to 4,462,714,096 and 9,728,967,848

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Solution

The third proportional to 4,462,714,096 and 9,728,967,848 is: 21,209,697,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462,714,096 : 9,728,967,848 = 9,728,967,848 : x
  2. Step 2: Convert to fraction form
    4,462,714,096/9,728,967,848 = 9,728,967,848/x
  3. Step 3: Cross multiply
    4,462,714,096x = 9,728,967,848 × 9,728,967,848
  4. Step 4: Simplify right side
    4,462,714,096x = 94,652,815,387,417,755,648
  5. Step 5: Solve for x
    x = 94,652,815,387,417,755,648/4,462,714,096
  6. Step 6: Final answer
    x = 21,209,697,361.58

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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.