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Finding the Third Proportional to 38,747,047 and 83,657,912

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Solution

The third proportional to 38,747,047 and 83,657,912 is: 180,623,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,747,047 : 83,657,912 = 83,657,912 : x
  2. Step 2: Convert to fraction form
    38,747,047/83,657,912 = 83,657,912/x
  3. Step 3: Cross multiply
    38,747,047x = 83,657,912 × 83,657,912
  4. Step 4: Simplify right side
    38,747,047x = 6,998,646,240,199,744
  5. Step 5: Solve for x
    x = 6,998,646,240,199,744/38,747,047
  6. Step 6: Final answer
    x = 180,623,990.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.