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Finding the Third Proportional to 7,480,296 and 16,141,536

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Solution

The third proportional to 7,480,296 and 16,141,536 is: 34,831,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480,296 : 16,141,536 = 16,141,536 : x
  2. Step 2: Convert to fraction form
    7,480,296/16,141,536 = 16,141,536/x
  3. Step 3: Cross multiply
    7,480,296x = 16,141,536 × 16,141,536
  4. Step 4: Simplify right side
    7,480,296x = 260,549,184,439,296
  5. Step 5: Solve for x
    x = 260,549,184,439,296/7,480,296
  6. Step 6: Final answer
    x = 34,831,400.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.