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Finding the Third Proportional to 1,330,949,760 and 2,069,005,419

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Solution

The third proportional to 1,330,949,760 and 2,069,005,419 is: 3,216,337,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,949,760 : 2,069,005,419 = 2,069,005,419 : x
  2. Step 2: Convert to fraction form
    1,330,949,760/2,069,005,419 = 2,069,005,419/x
  3. Step 3: Cross multiply
    1,330,949,760x = 2,069,005,419 × 2,069,005,419
  4. Step 4: Simplify right side
    1,330,949,760x = 4,280,783,423,851,365,376
  5. Step 5: Solve for x
    x = 4,280,783,423,851,365,376/1,330,949,760
  6. Step 6: Final answer
    x = 3,216,337,349.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.