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Finding the Third Proportional to 2,728,473.75 and 4,547,179.13

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Solution

The third proportional to 2,728,473.75 and 4,547,179.13 is: 7,578,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,473.75 : 4,547,179.13 = 4,547,179.13 : x
  2. Step 2: Convert to fraction form
    2,728,473.75/4,547,179.13 = 4,547,179.13/x
  3. Step 3: Cross multiply
    2,728,473.75x = 4,547,179.13 × 4,547,179.13
  4. Step 4: Simplify right side
    2,728,473.75x = 20,676,837,994,835.77
  5. Step 5: Solve for x
    x = 20,676,837,994,835.77/2,728,473.75
  6. Step 6: Final answer
    x = 7,578,170.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.