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Finding the Third Proportional to 12,713,028,776 and 27,369,004,624

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Solution

The third proportional to 12,713,028,776 and 27,369,004,624 is: 58,920,846,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713,028,776 : 27,369,004,624 = 27,369,004,624 : x
  2. Step 2: Convert to fraction form
    12,713,028,776/27,369,004,624 = 27,369,004,624/x
  3. Step 3: Cross multiply
    12,713,028,776x = 27,369,004,624 × 27,369,004,624
  4. Step 4: Simplify right side
    12,713,028,776x = 749,062,414,108,533,325,824
  5. Step 5: Solve for x
    x = 749,062,414,108,533,325,824/12,713,028,776
  6. Step 6: Final answer
    x = 58,920,846,267.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.