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Finding the Third Proportional to 6,104,686,940 and 13,223,541,832

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Solution

The third proportional to 6,104,686,940 and 13,223,541,832 is: 28,643,902,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104,686,940 : 13,223,541,832 = 13,223,541,832 : x
  2. Step 2: Convert to fraction form
    6,104,686,940/13,223,541,832 = 13,223,541,832/x
  3. Step 3: Cross multiply
    6,104,686,940x = 13,223,541,832 × 13,223,541,832
  4. Step 4: Simplify right side
    6,104,686,940x = 174,862,058,582,653,927,424
  5. Step 5: Solve for x
    x = 174,862,058,582,653,927,424/6,104,686,940
  6. Step 6: Final answer
    x = 28,643,902,676.96

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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.