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Finding the Third Proportional to 4,959,064.13 and 7,659,685.69

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Solution

The third proportional to 4,959,064.13 and 7,659,685.69 is: 11,831,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959,064.13 : 7,659,685.69 = 7,659,685.69 : x
  2. Step 2: Convert to fraction form
    4,959,064.13/7,659,685.69 = 7,659,685.69/x
  3. Step 3: Cross multiply
    4,959,064.13x = 7,659,685.69 × 7,659,685.69
  4. Step 4: Simplify right side
    4,959,064.13x = 58,670,784,831,292.34
  5. Step 5: Solve for x
    x = 58,670,784,831,292.34/4,959,064.13
  6. Step 6: Final answer
    x = 11,831,019.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.