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Finding the Third Proportional to 2,870,169,922 and 4,492,599,836

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Solution

The third proportional to 2,870,169,922 and 4,492,599,836 is: 7,032,145,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870,169,922 : 4,492,599,836 = 4,492,599,836 : x
  2. Step 2: Convert to fraction form
    2,870,169,922/4,492,599,836 = 4,492,599,836/x
  3. Step 3: Cross multiply
    2,870,169,922x = 4,492,599,836 × 4,492,599,836
  4. Step 4: Simplify right side
    2,870,169,922x = 20,183,453,286,427,226,112
  5. Step 5: Solve for x
    x = 20,183,453,286,427,226,112/2,870,169,922
  6. Step 6: Final answer
    x = 7,032,145,773.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.