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Finding the Third Proportional to 6,149,976,698 and 9,184,664,739

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Solution

The third proportional to 6,149,976,698 and 9,184,664,739 is: 13,716,810,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,976,698 : 9,184,664,739 = 9,184,664,739 : x
  2. Step 2: Convert to fraction form
    6,149,976,698/9,184,664,739 = 9,184,664,739/x
  3. Step 3: Cross multiply
    6,149,976,698x = 9,184,664,739 × 9,184,664,739
  4. Step 4: Simplify right side
    6,149,976,698x = 84,358,066,367,829,934,080
  5. Step 5: Solve for x
    x = 84,358,066,367,829,934,080/6,149,976,698
  6. Step 6: Final answer
    x = 13,716,810,731.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.