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Finding the Third Proportional to 27,225,194 and 42,176,289

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Solution

The third proportional to 27,225,194 and 42,176,289 is: 65,337,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225,194 : 42,176,289 = 42,176,289 : x
  2. Step 2: Convert to fraction form
    27,225,194/42,176,289 = 42,176,289/x
  3. Step 3: Cross multiply
    27,225,194x = 42,176,289 × 42,176,289
  4. Step 4: Simplify right side
    27,225,194x = 1,778,839,353,811,521
  5. Step 5: Solve for x
    x = 1,778,839,353,811,521/27,225,194
  6. Step 6: Final answer
    x = 65,337,986.34

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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.