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Finding the Third Proportional to 1,095,444,387 and 1,696,817,175

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Solution

The third proportional to 1,095,444,387 and 1,696,817,175 is: 2,628,329,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,444,387 : 1,696,817,175 = 1,696,817,175 : x
  2. Step 2: Convert to fraction form
    1,095,444,387/1,696,817,175 = 1,696,817,175/x
  3. Step 3: Cross multiply
    1,095,444,387x = 1,696,817,175 × 1,696,817,175
  4. Step 4: Simplify right side
    1,095,444,387x = 2,879,188,525,374,980,608
  5. Step 5: Solve for x
    x = 2,879,188,525,374,980,608/1,095,444,387
  6. Step 6: Final answer
    x = 2,628,329,251.16

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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.