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Finding the Third Proportional to 7,324,407 and 10,784,244

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Solution

The third proportional to 7,324,407 and 10,784,244 is: 15,878,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324,407 : 10,784,244 = 10,784,244 : x
  2. Step 2: Convert to fraction form
    7,324,407/10,784,244 = 10,784,244/x
  3. Step 3: Cross multiply
    7,324,407x = 10,784,244 × 10,784,244
  4. Step 4: Simplify right side
    7,324,407x = 116,299,918,651,536
  5. Step 5: Solve for x
    x = 116,299,918,651,536/7,324,407
  6. Step 6: Final answer
    x = 15,878,407.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.