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Finding the Third Proportional to 10,299,109.50 and 15,133,371.75

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Solution

The third proportional to 10,299,109.50 and 15,133,371.75 is: 22,236,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,109.50 : 15,133,371.75 = 15,133,371.75 : x
  2. Step 2: Convert to fraction form
    10,299,109.50/15,133,371.75 = 15,133,371.75/x
  3. Step 3: Cross multiply
    10,299,109.50x = 15,133,371.75 × 15,133,371.75
  4. Step 4: Simplify right side
    10,299,109.50x = 229,018,940,523,698.06
  5. Step 5: Solve for x
    x = 229,018,940,523,698.06/10,299,109.50
  6. Step 6: Final answer
    x = 22,236,771.10

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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.