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Finding the Third Proportional to 4,311,468 and 6,763,410

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Solution

The third proportional to 4,311,468 and 6,763,410 is: 10,609,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311,468 : 6,763,410 = 6,763,410 : x
  2. Step 2: Convert to fraction form
    4,311,468/6,763,410 = 6,763,410/x
  3. Step 3: Cross multiply
    4,311,468x = 6,763,410 × 6,763,410
  4. Step 4: Simplify right side
    4,311,468x = 45,743,714,828,100
  5. Step 5: Solve for x
    x = 45,743,714,828,100/4,311,468
  6. Step 6: Final answer
    x = 10,609,777.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.