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Finding the Third Proportional to 4,310,776 and 7,184,319

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Solution

The third proportional to 4,310,776 and 7,184,319 is: 11,973,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310,776 : 7,184,319 = 7,184,319 : x
  2. Step 2: Convert to fraction form
    4,310,776/7,184,319 = 7,184,319/x
  3. Step 3: Cross multiply
    4,310,776x = 7,184,319 × 7,184,319
  4. Step 4: Simplify right side
    4,310,776x = 51,614,439,493,761
  5. Step 5: Solve for x
    x = 51,614,439,493,761/4,310,776
  6. Step 6: Final answer
    x = 11,973,352.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.