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Finding the Third Proportional to 10,513,714,057 and 22,622,026,992

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Solution

The third proportional to 10,513,714,057 and 22,622,026,992 is: 48,675,102,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513,714,057 : 22,622,026,992 = 22,622,026,992 : x
  2. Step 2: Convert to fraction form
    10,513,714,057/22,622,026,992 = 22,622,026,992/x
  3. Step 3: Cross multiply
    10,513,714,057x = 22,622,026,992 × 22,622,026,992
  4. Step 4: Simplify right side
    10,513,714,057x = 511,756,105,226,776,543,232
  5. Step 5: Solve for x
    x = 511,756,105,226,776,543,232/10,513,714,057
  6. Step 6: Final answer
    x = 48,675,102,104.96

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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.