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Finding the Third Proportional to 4,710,598.50 and 10,350,178.50

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Solution

The third proportional to 4,710,598.50 and 10,350,178.50 is: 22,741,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710,598.50 : 10,350,178.50 = 10,350,178.50 : x
  2. Step 2: Convert to fraction form
    4,710,598.50/10,350,178.50 = 10,350,178.50/x
  3. Step 3: Cross multiply
    4,710,598.50x = 10,350,178.50 × 10,350,178.50
  4. Step 4: Simplify right side
    4,710,598.50x = 107,126,194,981,862.25
  5. Step 5: Solve for x
    x = 107,126,194,981,862.25/4,710,598.50
  6. Step 6: Final answer
    x = 22,741,525.30

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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.