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Finding the Third Proportional to 30,196,296 and 64,624,392

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Solution

The third proportional to 30,196,296 and 64,624,392 is: 138,305,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196,296 : 64,624,392 = 64,624,392 : x
  2. Step 2: Convert to fraction form
    30,196,296/64,624,392 = 64,624,392/x
  3. Step 3: Cross multiply
    30,196,296x = 64,624,392 × 64,624,392
  4. Step 4: Simplify right side
    30,196,296x = 4,176,312,041,369,664
  5. Step 5: Solve for x
    x = 4,176,312,041,369,664/30,196,296
  6. Step 6: Final answer
    x = 138,305,441.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.