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Finding the Third Proportional to 3,828,875,483 and 8,328,609,814

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Solution

The third proportional to 3,828,875,483 and 8,328,609,814 is: 18,116,478,778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,875,483 : 8,328,609,814 = 8,328,609,814 : x
  2. Step 2: Convert to fraction form
    3,828,875,483/8,328,609,814 = 8,328,609,814/x
  3. Step 3: Cross multiply
    3,828,875,483x = 8,328,609,814 × 8,328,609,814
  4. Step 4: Simplify right side
    3,828,875,483x = 69,365,741,433,857,114,112
  5. Step 5: Solve for x
    x = 69,365,741,433,857,114,112/3,828,875,483
  6. Step 6: Final answer
    x = 18,116,478,778.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.