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Finding the Third Proportional to 12,203,784 and 16,574,247

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Solution

The third proportional to 12,203,784 and 16,574,247 is: 22,509,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203,784 : 16,574,247 = 16,574,247 : x
  2. Step 2: Convert to fraction form
    12,203,784/16,574,247 = 16,574,247/x
  3. Step 3: Cross multiply
    12,203,784x = 16,574,247 × 16,574,247
  4. Step 4: Simplify right side
    12,203,784x = 274,705,663,617,009
  5. Step 5: Solve for x
    x = 274,705,663,617,009/12,203,784
  6. Step 6: Final answer
    x = 22,509,875.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.