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Finding the Third Proportional to 113,106,761,822 and 246,071,695,000

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Solution

The third proportional to 113,106,761,822 and 246,071,695,000 is: 535,346,234,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,106,761,822 : 246,071,695,000 = 246,071,695,000 : x
  2. Step 2: Convert to fraction form
    113,106,761,822/246,071,695,000 = 246,071,695,000/x
  3. Step 3: Cross multiply
    113,106,761,822x = 246,071,695,000 × 246,071,695,000
  4. Step 4: Simplify right side
    113,106,761,822x = 60,551,279,080,173,020,905,472
  5. Step 5: Solve for x
    x = 60,551,279,080,173,020,905,472/113,106,761,822
  6. Step 6: Final answer
    x = 535,346,234,873.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.