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Finding the Third Proportional to 29,677,221 and 64,430,406

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Solution

The third proportional to 29,677,221 and 64,430,406 is: 139,880,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677,221 : 64,430,406 = 64,430,406 : x
  2. Step 2: Convert to fraction form
    29,677,221/64,430,406 = 64,430,406/x
  3. Step 3: Cross multiply
    29,677,221x = 64,430,406 × 64,430,406
  4. Step 4: Simplify right side
    29,677,221x = 4,151,277,217,324,836
  5. Step 5: Solve for x
    x = 4,151,277,217,324,836/29,677,221
  6. Step 6: Final answer
    x = 139,880,928.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.