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Finding the Third Proportional to 27,370,026 and 38,264,973.75

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Solution

The third proportional to 27,370,026 and 38,264,973.75 is: 53,496,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,370,026 : 38,264,973.75 = 38,264,973.75 : x
  2. Step 2: Convert to fraction form
    27,370,026/38,264,973.75 = 38,264,973.75/x
  3. Step 3: Cross multiply
    27,370,026x = 38,264,973.75 × 38,264,973.75
  4. Step 4: Simplify right side
    27,370,026x = 1,464,208,216,088,189
  5. Step 5: Solve for x
    x = 1,464,208,216,088,189/27,370,026
  6. Step 6: Final answer
    x = 53,496,778.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.