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Finding the Third Proportional to 2,273,768,709 and 4,947,919,914

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Solution

The third proportional to 2,273,768,709 and 4,947,919,914 is: 10,767,107,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,768,709 : 4,947,919,914 = 4,947,919,914 : x
  2. Step 2: Convert to fraction form
    2,273,768,709/4,947,919,914 = 4,947,919,914/x
  3. Step 3: Cross multiply
    2,273,768,709x = 4,947,919,914 × 4,947,919,914
  4. Step 4: Simplify right side
    2,273,768,709x = 24,481,911,475,357,765,632
  5. Step 5: Solve for x
    x = 24,481,911,475,357,765,632/2,273,768,709
  6. Step 6: Final answer
    x = 10,767,107,216.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.