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Finding the Third Proportional to 5,204,627,874 and 7,928,973,507

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Solution

The third proportional to 5,204,627,874 and 7,928,973,507 is: 12,079,369,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204,627,874 : 7,928,973,507 = 7,928,973,507 : x
  2. Step 2: Convert to fraction form
    5,204,627,874/7,928,973,507 = 7,928,973,507/x
  3. Step 3: Cross multiply
    5,204,627,874x = 7,928,973,507 × 7,928,973,507
  4. Step 4: Simplify right side
    5,204,627,874x = 62,868,620,874,707,877,888
  5. Step 5: Solve for x
    x = 62,868,620,874,707,877,888/5,204,627,874
  6. Step 6: Final answer
    x = 12,079,369,053.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.