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Finding the Third Proportional to 51,901,672 and 73,006,214

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Solution

The third proportional to 51,901,672 and 73,006,214 is: 102,692,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,901,672 : 73,006,214 = 73,006,214 : x
  2. Step 2: Convert to fraction form
    51,901,672/73,006,214 = 73,006,214/x
  3. Step 3: Cross multiply
    51,901,672x = 73,006,214 × 73,006,214
  4. Step 4: Simplify right side
    51,901,672x = 5,329,907,282,613,796
  5. Step 5: Solve for x
    x = 5,329,907,282,613,796/51,901,672
  6. Step 6: Final answer
    x = 102,692,400.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.