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Finding the Third Proportional to 32,607,747 and 70,322,703

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Solution

The third proportional to 32,607,747 and 70,322,703 is: 151,659,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607,747 : 70,322,703 = 70,322,703 : x
  2. Step 2: Convert to fraction form
    32,607,747/70,322,703 = 70,322,703/x
  3. Step 3: Cross multiply
    32,607,747x = 70,322,703 × 70,322,703
  4. Step 4: Simplify right side
    32,607,747x = 4,945,282,557,226,209
  5. Step 5: Solve for x
    x = 4,945,282,557,226,209/32,607,747
  6. Step 6: Final answer
    x = 151,659,743.84

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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.