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Finding the Third Proportional to 29,957,784 and 64,530,144

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Solution

The third proportional to 29,957,784 and 64,530,144 is: 139,000,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957,784 : 64,530,144 = 64,530,144 : x
  2. Step 2: Convert to fraction form
    29,957,784/64,530,144 = 64,530,144/x
  3. Step 3: Cross multiply
    29,957,784x = 64,530,144 × 64,530,144
  4. Step 4: Simplify right side
    29,957,784x = 4,164,139,484,660,736
  5. Step 5: Solve for x
    x = 4,164,139,484,660,736/29,957,784
  6. Step 6: Final answer
    x = 139,000,250.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.