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Finding the Third Proportional to 4,516,442,692 and 9,783,378,488

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Solution

The third proportional to 4,516,442,692 and 9,783,378,488 is: 21,192,451,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,442,692 : 9,783,378,488 = 9,783,378,488 : x
  2. Step 2: Convert to fraction form
    4,516,442,692/9,783,378,488 = 9,783,378,488/x
  3. Step 3: Cross multiply
    4,516,442,692x = 9,783,378,488 × 9,783,378,488
  4. Step 4: Simplify right side
    4,516,442,692x = 95,714,494,639,461,171,200
  5. Step 5: Solve for x
    x = 95,714,494,639,461,171,200/4,516,442,692
  6. Step 6: Final answer
    x = 21,192,451,928.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.