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Finding the Third Proportional to 1,318,580,212 and 2,745,674,036

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Solution

The third proportional to 1,318,580,212 and 2,745,674,036 is: 5,717,305,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,580,212 : 2,745,674,036 = 2,745,674,036 : x
  2. Step 2: Convert to fraction form
    1,318,580,212/2,745,674,036 = 2,745,674,036/x
  3. Step 3: Cross multiply
    1,318,580,212x = 2,745,674,036 × 2,745,674,036
  4. Step 4: Simplify right side
    1,318,580,212x = 7,538,725,911,964,529,664
  5. Step 5: Solve for x
    x = 7,538,725,911,964,529,664/1,318,580,212
  6. Step 6: Final answer
    x = 5,717,305,510.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.