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Finding the Third Proportional to 2,950,627,760 and 4,486,360,104

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Solution

The third proportional to 2,950,627,760 and 4,486,360,104 is: 6,821,405,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950,627,760 : 4,486,360,104 = 4,486,360,104 : x
  2. Step 2: Convert to fraction form
    2,950,627,760/4,486,360,104 = 4,486,360,104/x
  3. Step 3: Cross multiply
    2,950,627,760x = 4,486,360,104 × 4,486,360,104
  4. Step 4: Simplify right side
    2,950,627,760x = 20,127,426,982,762,889,216
  5. Step 5: Solve for x
    x = 20,127,426,982,762,889,216/2,950,627,760
  6. Step 6: Final answer
    x = 6,821,405,009.34

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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.