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Finding the Third Proportional to 4,968,634 and 7,288,909.50

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Solution

The third proportional to 4,968,634 and 7,288,909.50 is: 10,692,717.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968,634 : 7,288,909.50 = 7,288,909.50 : x
  2. Step 2: Convert to fraction form
    4,968,634/7,288,909.50 = 7,288,909.50/x
  3. Step 3: Cross multiply
    4,968,634x = 7,288,909.50 × 7,288,909.50
  4. Step 4: Simplify right side
    4,968,634x = 53,128,201,699,190.25
  5. Step 5: Solve for x
    x = 53,128,201,699,190.25/4,968,634
  6. Step 6: Final answer
    x = 10,692,717.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.