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Finding the Third Proportional to 3,828,875,486 and 8,328,609,818

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Solution

The third proportional to 3,828,875,486 and 8,328,609,818 is: 18,116,478,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828,875,486 : 8,328,609,818 = 8,328,609,818 : x
  2. Step 2: Convert to fraction form
    3,828,875,486/8,328,609,818 = 8,328,609,818/x
  3. Step 3: Cross multiply
    3,828,875,486x = 8,328,609,818 × 8,328,609,818
  4. Step 4: Simplify right side
    3,828,875,486x = 69,365,741,500,485,992,448
  5. Step 5: Solve for x
    x = 69,365,741,500,485,992,448/3,828,875,486
  6. Step 6: Final answer
    x = 18,116,478,781.86

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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.