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Finding the Third Proportional to 3,633,032.25 and 8,564,069.25

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Solution

The third proportional to 3,633,032.25 and 8,564,069.25 is: 20,187,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633,032.25 : 8,564,069.25 = 8,564,069.25 : x
  2. Step 2: Convert to fraction form
    3,633,032.25/8,564,069.25 = 8,564,069.25/x
  3. Step 3: Cross multiply
    3,633,032.25x = 8,564,069.25 × 8,564,069.25
  4. Step 4: Simplify right side
    3,633,032.25x = 73,343,282,118,795.56
  5. Step 5: Solve for x
    x = 73,343,282,118,795.56/3,633,032.25
  6. Step 6: Final answer
    x = 20,187,897.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.