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Finding the Third Proportional to 2,995,825,185 and 6,513,089,757.75

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Solution

The third proportional to 2,995,825,185 and 6,513,089,757.75 is: 14,159,817,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995,825,185 : 6,513,089,757.75 = 6,513,089,757.75 : x
  2. Step 2: Convert to fraction form
    2,995,825,185/6,513,089,757.75 = 6,513,089,757.75/x
  3. Step 3: Cross multiply
    2,995,825,185x = 6,513,089,757.75 × 6,513,089,757.75
  4. Step 4: Simplify right side
    2,995,825,185x = 42,420,338,192,507,953,152
  5. Step 5: Solve for x
    x = 42,420,338,192,507,953,152/2,995,825,185
  6. Step 6: Final answer
    x = 14,159,817,603.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.