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Finding the Third Proportional to 8,415,706.50 and 18,406,050

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Solution

The third proportional to 8,415,706.50 and 18,406,050 is: 40,255,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,706.50 : 18,406,050 = 18,406,050 : x
  2. Step 2: Convert to fraction form
    8,415,706.50/18,406,050 = 18,406,050/x
  3. Step 3: Cross multiply
    8,415,706.50x = 18,406,050 × 18,406,050
  4. Step 4: Simplify right side
    8,415,706.50x = 338,782,676,602,500
  5. Step 5: Solve for x
    x = 338,782,676,602,500/8,415,706.50
  6. Step 6: Final answer
    x = 40,255,999.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.