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Finding the Third Proportional to 71,646,006 and 155,456,106

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Solution

The third proportional to 71,646,006 and 155,456,106 is: 337,305,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646,006 : 155,456,106 = 155,456,106 : x
  2. Step 2: Convert to fraction form
    71,646,006/155,456,106 = 155,456,106/x
  3. Step 3: Cross multiply
    71,646,006x = 155,456,106 × 155,456,106
  4. Step 4: Simplify right side
    71,646,006x = 24,166,600,892,683,236
  5. Step 5: Solve for x
    x = 24,166,600,892,683,236/71,646,006
  6. Step 6: Final answer
    x = 337,305,625.84

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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.