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Finding the Third Proportional to 4,209,457.50 and 9,092,509.50

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Solution

The third proportional to 4,209,457.50 and 9,092,509.50 is: 19,639,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209,457.50 : 9,092,509.50 = 9,092,509.50 : x
  2. Step 2: Convert to fraction form
    4,209,457.50/9,092,509.50 = 9,092,509.50/x
  3. Step 3: Cross multiply
    4,209,457.50x = 9,092,509.50 × 9,092,509.50
  4. Step 4: Simplify right side
    4,209,457.50x = 82,673,729,007,590.25
  5. Step 5: Solve for x
    x = 82,673,729,007,590.25/4,209,457.50
  6. Step 6: Final answer
    x = 19,639,996.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.