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Finding the Third Proportional to 9,968,961,714 and 21,272,217,636

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Solution

The third proportional to 9,968,961,714 and 21,272,217,636 is: 45,391,612,099.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968,961,714 : 21,272,217,636 = 21,272,217,636 : x
  2. Step 2: Convert to fraction form
    9,968,961,714/21,272,217,636 = 21,272,217,636/x
  3. Step 3: Cross multiply
    9,968,961,714x = 21,272,217,636 × 21,272,217,636
  4. Step 4: Simplify right side
    9,968,961,714x = 452,507,243,153,349,410,816
  5. Step 5: Solve for x
    x = 452,507,243,153,349,410,816/9,968,961,714
  6. Step 6: Final answer
    x = 45,391,612,099.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.