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Finding the Third Proportional to 4,828,214.25 and 6,767,732.25

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Solution

The third proportional to 4,828,214.25 and 6,767,732.25 is: 9,486,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828,214.25 : 6,767,732.25 = 6,767,732.25 : x
  2. Step 2: Convert to fraction form
    4,828,214.25/6,767,732.25 = 6,767,732.25/x
  3. Step 3: Cross multiply
    4,828,214.25x = 6,767,732.25 × 6,767,732.25
  4. Step 4: Simplify right side
    4,828,214.25x = 45,802,199,807,690.06
  5. Step 5: Solve for x
    x = 45,802,199,807,690.06/4,828,214.25
  6. Step 6: Final answer
    x = 9,486,364.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.