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Finding the Third Proportional to 9,870,032 and 15,343,293

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Solution

The third proportional to 9,870,032 and 15,343,293 is: 23,851,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870,032 : 15,343,293 = 15,343,293 : x
  2. Step 2: Convert to fraction form
    9,870,032/15,343,293 = 15,343,293/x
  3. Step 3: Cross multiply
    9,870,032x = 15,343,293 × 15,343,293
  4. Step 4: Simplify right side
    9,870,032x = 235,416,640,083,849
  5. Step 5: Solve for x
    x = 235,416,640,083,849/9,870,032
  6. Step 6: Final answer
    x = 23,851,659.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.