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Finding the Third Proportional to 51,495,997 and 72,171,501

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Solution

The third proportional to 51,495,997 and 72,171,501 is: 101,148,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495,997 : 72,171,501 = 72,171,501 : x
  2. Step 2: Convert to fraction form
    51,495,997/72,171,501 = 72,171,501/x
  3. Step 3: Cross multiply
    51,495,997x = 72,171,501 × 72,171,501
  4. Step 4: Simplify right side
    51,495,997x = 5,208,725,556,593,001
  5. Step 5: Solve for x
    x = 5,208,725,556,593,001/51,495,997
  6. Step 6: Final answer
    x = 101,148,164.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.