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Finding the Third Proportional to 13,633,548 and 20,402,017.50

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Solution

The third proportional to 13,633,548 and 20,402,017.50 is: 30,530,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633,548 : 20,402,017.50 = 20,402,017.50 : x
  2. Step 2: Convert to fraction form
    13,633,548/20,402,017.50 = 20,402,017.50/x
  3. Step 3: Cross multiply
    13,633,548x = 20,402,017.50 × 20,402,017.50
  4. Step 4: Simplify right side
    13,633,548x = 416,242,318,070,306.25
  5. Step 5: Solve for x
    x = 416,242,318,070,306.25/13,633,548
  6. Step 6: Final answer
    x = 30,530,740.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.