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Finding the Third Proportional to 6,741,998 and 14,745,196

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Solution

The third proportional to 6,741,998 and 14,745,196 is: 32,248,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,998 : 14,745,196 = 14,745,196 : x
  2. Step 2: Convert to fraction form
    6,741,998/14,745,196 = 14,745,196/x
  3. Step 3: Cross multiply
    6,741,998x = 14,745,196 × 14,745,196
  4. Step 4: Simplify right side
    6,741,998x = 217,420,805,078,416
  5. Step 5: Solve for x
    x = 217,420,805,078,416/6,741,998
  6. Step 6: Final answer
    x = 32,248,719.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.