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Finding the Third Proportional to 35,741,029 and 78,036,526

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Solution

The third proportional to 35,741,029 and 78,036,526 is: 170,383,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,741,029 : 78,036,526 = 78,036,526 : x
  2. Step 2: Convert to fraction form
    35,741,029/78,036,526 = 78,036,526/x
  3. Step 3: Cross multiply
    35,741,029x = 78,036,526 × 78,036,526
  4. Step 4: Simplify right side
    35,741,029x = 6,089,699,390,148,676
  5. Step 5: Solve for x
    x = 6,089,699,390,148,676/35,741,029
  6. Step 6: Final answer
    x = 170,383,997.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.