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Finding the Third Proportional to 356,662,301.20 and 723,353,136.47

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Solution

The third proportional to 356,662,301.20 and 723,353,136.47 is: 1,467,045,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,662,301.20 : 723,353,136.47 = 723,353,136.47 : x
  2. Step 2: Convert to fraction form
    356,662,301.20/723,353,136.47 = 723,353,136.47/x
  3. Step 3: Cross multiply
    356,662,301.20x = 723,353,136.47 × 723,353,136.47
  4. Step 4: Simplify right side
    356,662,301.20x = 523,239,760,039,178,048
  5. Step 5: Solve for x
    x = 523,239,760,039,178,048/356,662,301.20
  6. Step 6: Final answer
    x = 1,467,045,320.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.