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Finding the Third Proportional to 7,829,851.50 and 17,249,652

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Solution

The third proportional to 7,829,851.50 and 17,249,652 is: 38,002,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,851.50 : 17,249,652 = 17,249,652 : x
  2. Step 2: Convert to fraction form
    7,829,851.50/17,249,652 = 17,249,652/x
  3. Step 3: Cross multiply
    7,829,851.50x = 17,249,652 × 17,249,652
  4. Step 4: Simplify right side
    7,829,851.50x = 297,550,494,121,104
  5. Step 5: Solve for x
    x = 297,550,494,121,104/7,829,851.50
  6. Step 6: Final answer
    x = 38,002,060.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.