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Finding the Third Proportional to 3,710,420.16 and 5,675,973.75

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Solution

The third proportional to 3,710,420.16 and 5,675,973.75 is: 8,682,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710,420.16 : 5,675,973.75 = 5,675,973.75 : x
  2. Step 2: Convert to fraction form
    3,710,420.16/5,675,973.75 = 5,675,973.75/x
  3. Step 3: Cross multiply
    3,710,420.16x = 5,675,973.75 × 5,675,973.75
  4. Step 4: Simplify right side
    3,710,420.16x = 32,216,678,010,689.06
  5. Step 5: Solve for x
    x = 32,216,678,010,689.06/3,710,420.16
  6. Step 6: Final answer
    x = 8,682,757.38

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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.