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Finding the Third Proportional to 1,095,444,389 and 1,696,817,178

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Solution

The third proportional to 1,095,444,389 and 1,696,817,178 is: 2,628,329,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,444,389 : 1,696,817,178 = 1,696,817,178 : x
  2. Step 2: Convert to fraction form
    1,095,444,389/1,696,817,178 = 1,696,817,178/x
  3. Step 3: Cross multiply
    1,095,444,389x = 1,696,817,178 × 1,696,817,178
  4. Step 4: Simplify right side
    1,095,444,389x = 2,879,188,535,555,883,520
  5. Step 5: Solve for x
    x = 2,879,188,535,555,883,520/1,095,444,389
  6. Step 6: Final answer
    x = 2,628,329,255.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.