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Finding the Third Proportional to 3,066,947,728 and 4,385,769,000

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Solution

The third proportional to 3,066,947,728 and 4,385,769,000 is: 6,271,697,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,947,728 : 4,385,769,000 = 4,385,769,000 : x
  2. Step 2: Convert to fraction form
    3,066,947,728/4,385,769,000 = 4,385,769,000/x
  3. Step 3: Cross multiply
    3,066,947,728x = 4,385,769,000 × 4,385,769,000
  4. Step 4: Simplify right side
    3,066,947,728x = 19,234,969,721,360,998,400
  5. Step 5: Solve for x
    x = 19,234,969,721,360,998,400/3,066,947,728
  6. Step 6: Final answer
    x = 6,271,697,931.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.