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Finding the Third Proportional to 71,072,940 and 107,484,216

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Solution

The third proportional to 71,072,940 and 107,484,216 is: 162,549,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,072,940 : 107,484,216 = 107,484,216 : x
  2. Step 2: Convert to fraction form
    71,072,940/107,484,216 = 107,484,216/x
  3. Step 3: Cross multiply
    71,072,940x = 107,484,216 × 107,484,216
  4. Step 4: Simplify right side
    71,072,940x = 11,552,856,689,134,656
  5. Step 5: Solve for x
    x = 11,552,856,689,134,656/71,072,940
  6. Step 6: Final answer
    x = 162,549,300.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.