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Finding the Third Proportional to 2,870,169,918 and 4,492,599,831

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Solution

The third proportional to 2,870,169,918 and 4,492,599,831 is: 7,032,145,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870,169,918 : 4,492,599,831 = 4,492,599,831 : x
  2. Step 2: Convert to fraction form
    2,870,169,918/4,492,599,831 = 4,492,599,831/x
  3. Step 3: Cross multiply
    2,870,169,918x = 4,492,599,831 × 4,492,599,831
  4. Step 4: Simplify right side
    2,870,169,918x = 20,183,453,241,501,229,056
  5. Step 5: Solve for x
    x = 20,183,453,241,501,229,056/2,870,169,918
  6. Step 6: Final answer
    x = 7,032,145,767.72

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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.