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Finding the Third Proportional to 6,487,805,736 and 10,050,462,924

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Solution

The third proportional to 6,487,805,736 and 10,050,462,924 is: 15,569,486,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487,805,736 : 10,050,462,924 = 10,050,462,924 : x
  2. Step 2: Convert to fraction form
    6,487,805,736/10,050,462,924 = 10,050,462,924/x
  3. Step 3: Cross multiply
    6,487,805,736x = 10,050,462,924 × 10,050,462,924
  4. Step 4: Simplify right side
    6,487,805,736x = 101,011,804,986,698,629,120
  5. Step 5: Solve for x
    x = 101,011,804,986,698,629,120/6,487,805,736
  6. Step 6: Final answer
    x = 15,569,486,679.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.