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Finding the Third Proportional to 7,184,871 and 15,565,624

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Solution

The third proportional to 7,184,871 and 15,565,624 is: 33,722,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184,871 : 15,565,624 = 15,565,624 : x
  2. Step 2: Convert to fraction form
    7,184,871/15,565,624 = 15,565,624/x
  3. Step 3: Cross multiply
    7,184,871x = 15,565,624 × 15,565,624
  4. Step 4: Simplify right side
    7,184,871x = 242,288,650,509,376
  5. Step 5: Solve for x
    x = 242,288,650,509,376/7,184,871
  6. Step 6: Final answer
    x = 33,722,059.94

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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.