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Finding the Third Proportional to 3,117,811,215 and 6,456,622,949

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Solution

The third proportional to 3,117,811,215 and 6,456,622,949 is: 13,370,912,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,811,215 : 6,456,622,949 = 6,456,622,949 : x
  2. Step 2: Convert to fraction form
    3,117,811,215/6,456,622,949 = 6,456,622,949/x
  3. Step 3: Cross multiply
    3,117,811,215x = 6,456,622,949 × 6,456,622,949
  4. Step 4: Simplify right side
    3,117,811,215x = 41,687,979,905,553,457,152
  5. Step 5: Solve for x
    x = 41,687,979,905,553,457,152/3,117,811,215
  6. Step 6: Final answer
    x = 13,370,912,165.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.