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Finding the Third Proportional to 32,026,105,393 and 66,702,991,944

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Solution

The third proportional to 32,026,105,393 and 66,702,991,944 is: 138,926,949,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026,105,393 : 66,702,991,944 = 66,702,991,944 : x
  2. Step 2: Convert to fraction form
    32,026,105,393/66,702,991,944 = 66,702,991,944/x
  3. Step 3: Cross multiply
    32,026,105,393x = 66,702,991,944 × 66,702,991,944
  4. Step 4: Simplify right side
    32,026,105,393x = 4,449,289,134,281,328,689,152
  5. Step 5: Solve for x
    x = 4,449,289,134,281,328,689,152/32,026,105,393
  6. Step 6: Final answer
    x = 138,926,949,739.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.