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Finding the Third Proportional to 30,940,054 and 65,568,347

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Solution

The third proportional to 30,940,054 and 65,568,347 is: 138,952,832.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,054 : 65,568,347 = 65,568,347 : x
  2. Step 2: Convert to fraction form
    30,940,054/65,568,347 = 65,568,347/x
  3. Step 3: Cross multiply
    30,940,054x = 65,568,347 × 65,568,347
  4. Step 4: Simplify right side
    30,940,054x = 4,299,208,128,312,409
  5. Step 5: Solve for x
    x = 4,299,208,128,312,409/30,940,054
  6. Step 6: Final answer
    x = 138,952,832.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.