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Finding the Third Proportional to 932,860,928 and 2,041,452,416

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Solution

The third proportional to 932,860,928 and 2,041,452,416 is: 4,467,469,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,860,928 : 2,041,452,416 = 2,041,452,416 : x
  2. Step 2: Convert to fraction form
    932,860,928/2,041,452,416 = 2,041,452,416/x
  3. Step 3: Cross multiply
    932,860,928x = 2,041,452,416 × 2,041,452,416
  4. Step 4: Simplify right side
    932,860,928x = 4,167,527,966,792,237,056
  5. Step 5: Solve for x
    x = 4,167,527,966,792,237,056/932,860,928
  6. Step 6: Final answer
    x = 4,467,469,739.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.