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Finding the Third Proportional to 3,125,025,084 and 6,679,828,224

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Solution

The third proportional to 3,125,025,084 and 6,679,828,224 is: 14,278,319,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125,025,084 : 6,679,828,224 = 6,679,828,224 : x
  2. Step 2: Convert to fraction form
    3,125,025,084/6,679,828,224 = 6,679,828,224/x
  3. Step 3: Cross multiply
    3,125,025,084x = 6,679,828,224 × 6,679,828,224
  4. Step 4: Simplify right side
    3,125,025,084x = 44,620,105,102,146,994,176
  5. Step 5: Solve for x
    x = 44,620,105,102,146,994,176/3,125,025,084
  6. Step 6: Final answer
    x = 14,278,319,022.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.