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Finding the Third Proportional to 8,187,258,553 and 12,576,630,756

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Solution

The third proportional to 8,187,258,553 and 12,576,630,756 is: 19,319,243,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187,258,553 : 12,576,630,756 = 12,576,630,756 : x
  2. Step 2: Convert to fraction form
    8,187,258,553/12,576,630,756 = 12,576,630,756/x
  3. Step 3: Cross multiply
    8,187,258,553x = 12,576,630,756 × 12,576,630,756
  4. Step 4: Simplify right side
    8,187,258,553x = 158,171,641,172,765,147,136
  5. Step 5: Solve for x
    x = 158,171,641,172,765,147,136/8,187,258,553
  6. Step 6: Final answer
    x = 19,319,243,449.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.