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Finding the Third Proportional to 35,309,105 and 74,818,464.50

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Solution

The third proportional to 35,309,105 and 74,818,464.50 is: 158,537,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309,105 : 74,818,464.50 = 74,818,464.50 : x
  2. Step 2: Convert to fraction form
    35,309,105/74,818,464.50 = 74,818,464.50/x
  3. Step 3: Cross multiply
    35,309,105x = 74,818,464.50 × 74,818,464.50
  4. Step 4: Simplify right side
    35,309,105x = 5,597,802,630,137,760
  5. Step 5: Solve for x
    x = 5,597,802,630,137,760/35,309,105
  6. Step 6: Final answer
    x = 158,537,086.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.