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Finding the Third Proportional to 7,189,968 and 15,649,584

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Solution

The third proportional to 7,189,968 and 15,649,584 is: 34,062,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189,968 : 15,649,584 = 15,649,584 : x
  2. Step 2: Convert to fraction form
    7,189,968/15,649,584 = 15,649,584/x
  3. Step 3: Cross multiply
    7,189,968x = 15,649,584 × 15,649,584
  4. Step 4: Simplify right side
    7,189,968x = 244,909,479,373,056
  5. Step 5: Solve for x
    x = 244,909,479,373,056/7,189,968
  6. Step 6: Final answer
    x = 34,062,666.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.