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Finding the Third Proportional to 11,349,883,806 and 24,384,126,883

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Solution

The third proportional to 11,349,883,806 and 24,384,126,883 is: 52,386,936,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349,883,806 : 24,384,126,883 = 24,384,126,883 : x
  2. Step 2: Convert to fraction form
    11,349,883,806/24,384,126,883 = 24,384,126,883/x
  3. Step 3: Cross multiply
    11,349,883,806x = 24,384,126,883 × 24,384,126,883
  4. Step 4: Simplify right side
    11,349,883,806x = 594,585,643,846,243,319,808
  5. Step 5: Solve for x
    x = 594,585,643,846,243,319,808/11,349,883,806
  6. Step 6: Final answer
    x = 52,386,936,642.64

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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.