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Finding the Third Proportional to 8,653,614 and 18,465,463.50

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Solution

The third proportional to 8,653,614 and 18,465,463.50 is: 39,402,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653,614 : 18,465,463.50 = 18,465,463.50 : x
  2. Step 2: Convert to fraction form
    8,653,614/18,465,463.50 = 18,465,463.50/x
  3. Step 3: Cross multiply
    8,653,614x = 18,465,463.50 × 18,465,463.50
  4. Step 4: Simplify right side
    8,653,614x = 340,973,342,269,832.25
  5. Step 5: Solve for x
    x = 340,973,342,269,832.25/8,653,614
  6. Step 6: Final answer
    x = 39,402,421.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.