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Finding the Third Proportional to 6,519,390 and 14,160,714

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Solution

The third proportional to 6,519,390 and 14,160,714 is: 30,758,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,390 : 14,160,714 = 14,160,714 : x
  2. Step 2: Convert to fraction form
    6,519,390/14,160,714 = 14,160,714/x
  3. Step 3: Cross multiply
    6,519,390x = 14,160,714 × 14,160,714
  4. Step 4: Simplify right side
    6,519,390x = 200,525,820,989,796
  5. Step 5: Solve for x
    x = 200,525,820,989,796/6,519,390
  6. Step 6: Final answer
    x = 30,758,371.72

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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.