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Finding the Third Proportional to 15,166,364,997 and 32,972,516,889

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Solution

The third proportional to 15,166,364,997 and 32,972,516,889 is: 71,684,076,587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166,364,997 : 32,972,516,889 = 32,972,516,889 : x
  2. Step 2: Convert to fraction form
    15,166,364,997/32,972,516,889 = 32,972,516,889/x
  3. Step 3: Cross multiply
    15,166,364,997x = 32,972,516,889 × 32,972,516,889
  4. Step 4: Simplify right side
    15,166,364,997x = 1,087,186,869,995,390,238,720
  5. Step 5: Solve for x
    x = 1,087,186,869,995,390,238,720/15,166,364,997
  6. Step 6: Final answer
    x = 71,684,076,587.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.