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Finding the Third Proportional to 10,299,141.50 and 15,133,419.75

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Solution

The third proportional to 10,299,141.50 and 15,133,419.75 is: 22,236,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,141.50 : 15,133,419.75 = 15,133,419.75 : x
  2. Step 2: Convert to fraction form
    10,299,141.50/15,133,419.75 = 15,133,419.75/x
  3. Step 3: Cross multiply
    10,299,141.50x = 15,133,419.75 × 15,133,419.75
  4. Step 4: Simplify right side
    10,299,141.50x = 229,020,393,329,690.06
  5. Step 5: Solve for x
    x = 229,020,393,329,690.06/10,299,141.50
  6. Step 6: Final answer
    x = 22,236,843.07

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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.