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Finding the Third Proportional to 4,042,255,429 and 8,796,301,961

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Solution

The third proportional to 4,042,255,429 and 8,796,301,961 is: 19,141,523,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042,255,429 : 8,796,301,961 = 8,796,301,961 : x
  2. Step 2: Convert to fraction form
    4,042,255,429/8,796,301,961 = 8,796,301,961/x
  3. Step 3: Cross multiply
    4,042,255,429x = 8,796,301,961 × 8,796,301,961
  4. Step 4: Simplify right side
    4,042,255,429x = 77,374,928,189,092,446,208
  5. Step 5: Solve for x
    x = 77,374,928,189,092,446,208/4,042,255,429
  6. Step 6: Final answer
    x = 19,141,523,723.11

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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.