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Finding the Third Proportional to 12,563,619,624 and 27,221,033,112

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Solution

The third proportional to 12,563,619,624 and 27,221,033,112 is: 58,978,595,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563,619,624 : 27,221,033,112 = 27,221,033,112 : x
  2. Step 2: Convert to fraction form
    12,563,619,624/27,221,033,112 = 27,221,033,112/x
  3. Step 3: Cross multiply
    12,563,619,624x = 27,221,033,112 × 27,221,033,112
  4. Step 4: Simplify right side
    12,563,619,624x = 740,984,643,684,600,381,440
  5. Step 5: Solve for x
    x = 740,984,643,684,600,381,440/12,563,619,624
  6. Step 6: Final answer
    x = 58,978,595,807.62

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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.