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Finding the Third Proportional to 480,378,942 and 974,124,990

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Solution

The third proportional to 480,378,942 and 974,124,990 is: 1,975,356,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,378,942 : 974,124,990 = 974,124,990 : x
  2. Step 2: Convert to fraction form
    480,378,942/974,124,990 = 974,124,990/x
  3. Step 3: Cross multiply
    480,378,942x = 974,124,990 × 974,124,990
  4. Step 4: Simplify right side
    480,378,942x = 948,919,496,142,500,096
  5. Step 5: Solve for x
    x = 948,919,496,142,500,096/480,378,942
  6. Step 6: Final answer
    x = 1,975,356,147.36

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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.