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Finding the Third Proportional to 3,710,394.84 and 5,675,938.31

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Solution

The third proportional to 3,710,394.84 and 5,675,938.31 is: 8,682,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710,394.84 : 5,675,938.31 = 5,675,938.31 : x
  2. Step 2: Convert to fraction form
    3,710,394.84/5,675,938.31 = 5,675,938.31/x
  3. Step 3: Cross multiply
    3,710,394.84x = 5,675,938.31 × 5,675,938.31
  4. Step 4: Simplify right side
    3,710,394.84x = 32,216,275,727,305.35
  5. Step 5: Solve for x
    x = 32,216,275,727,305.35/3,710,394.84
  6. Step 6: Final answer
    x = 8,682,708.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.