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Finding the Third Proportional to 5,122,026,363 and 11,421,771,901.50

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Solution

The third proportional to 5,122,026,363 and 11,421,771,901.50 is: 25,469,777,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122,026,363 : 11,421,771,901.50 = 11,421,771,901.50 : x
  2. Step 2: Convert to fraction form
    5,122,026,363/11,421,771,901.50 = 11,421,771,901.50/x
  3. Step 3: Cross multiply
    5,122,026,363x = 11,421,771,901.50 × 11,421,771,901.50
  4. Step 4: Simplify right side
    5,122,026,363x = 130,456,873,369,894,928,384
  5. Step 5: Solve for x
    x = 130,456,873,369,894,928,384/5,122,026,363
  6. Step 6: Final answer
    x = 25,469,777,803.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.