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Finding the Third Proportional to 71,072,856 and 107,484,084

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Solution

The third proportional to 71,072,856 and 107,484,084 is: 162,549,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,072,856 : 107,484,084 = 107,484,084 : x
  2. Step 2: Convert to fraction form
    71,072,856/107,484,084 = 107,484,084/x
  3. Step 3: Cross multiply
    71,072,856x = 107,484,084 × 107,484,084
  4. Step 4: Simplify right side
    71,072,856x = 11,552,828,313,319,056
  5. Step 5: Solve for x
    x = 11,552,828,313,319,056/71,072,856
  6. Step 6: Final answer
    x = 162,549,093.47

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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.