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Finding the Third Proportional to 7,030,629 and 15,412,014

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Solution

The third proportional to 7,030,629 and 15,412,014 is: 33,785,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030,629 : 15,412,014 = 15,412,014 : x
  2. Step 2: Convert to fraction form
    7,030,629/15,412,014 = 15,412,014/x
  3. Step 3: Cross multiply
    7,030,629x = 15,412,014 × 15,412,014
  4. Step 4: Simplify right side
    7,030,629x = 237,530,175,536,196
  5. Step 5: Solve for x
    x = 237,530,175,536,196/7,030,629
  6. Step 6: Final answer
    x = 33,785,053.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.