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Finding the Third Proportional to 35,241,840 and 72,381,024

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Solution

The third proportional to 35,241,840 and 72,381,024 is: 148,658,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241,840 : 72,381,024 = 72,381,024 : x
  2. Step 2: Convert to fraction form
    35,241,840/72,381,024 = 72,381,024/x
  3. Step 3: Cross multiply
    35,241,840x = 72,381,024 × 72,381,024
  4. Step 4: Simplify right side
    35,241,840x = 5,239,012,635,288,576
  5. Step 5: Solve for x
    x = 5,239,012,635,288,576/35,241,840
  6. Step 6: Final answer
    x = 148,658,884.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.