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Finding the Third Proportional to 27,225,186 and 42,176,277

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Solution

The third proportional to 27,225,186 and 42,176,277 is: 65,337,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,225,186 : 42,176,277 = 42,176,277 : x
  2. Step 2: Convert to fraction form
    27,225,186/42,176,277 = 42,176,277/x
  3. Step 3: Cross multiply
    27,225,186x = 42,176,277 × 42,176,277
  4. Step 4: Simplify right side
    27,225,186x = 1,778,838,341,580,729
  5. Step 5: Solve for x
    x = 1,778,838,341,580,729/27,225,186
  6. Step 6: Final answer
    x = 65,337,968.36

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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.