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Finding the Third Proportional to 9,945,280 and 14,037,694

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Solution

The third proportional to 9,945,280 and 14,037,694 is: 19,814,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,280 : 14,037,694 = 14,037,694 : x
  2. Step 2: Convert to fraction form
    9,945,280/14,037,694 = 14,037,694/x
  3. Step 3: Cross multiply
    9,945,280x = 14,037,694 × 14,037,694
  4. Step 4: Simplify right side
    9,945,280x = 197,056,852,837,636
  5. Step 5: Solve for x
    x = 197,056,852,837,636/9,945,280
  6. Step 6: Final answer
    x = 19,814,108.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.