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Finding the Third Proportional to 1,947,771,720 and 3,963,567,672

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Solution

The third proportional to 1,947,771,720 and 3,963,567,672 is: 8,065,559,495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,771,720 : 3,963,567,672 = 3,963,567,672 : x
  2. Step 2: Convert to fraction form
    1,947,771,720/3,963,567,672 = 3,963,567,672/x
  3. Step 3: Cross multiply
    1,947,771,720x = 3,963,567,672 × 3,963,567,672
  4. Step 4: Simplify right side
    1,947,771,720x = 15,709,868,690,523,500,544
  5. Step 5: Solve for x
    x = 15,709,868,690,523,500,544/1,947,771,720
  6. Step 6: Final answer
    x = 8,065,559,495.09

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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.