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Finding the Third Proportional to 3,158,043,696 and 6,843,276,864

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Solution

The third proportional to 3,158,043,696 and 6,843,276,864 is: 14,828,939,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,043,696 : 6,843,276,864 = 6,843,276,864 : x
  2. Step 2: Convert to fraction form
    3,158,043,696/6,843,276,864 = 6,843,276,864/x
  3. Step 3: Cross multiply
    3,158,043,696x = 6,843,276,864 × 6,843,276,864
  4. Step 4: Simplify right side
    3,158,043,696x = 46,830,438,237,357,670,400
  5. Step 5: Solve for x
    x = 46,830,438,237,357,670,400/3,158,043,696
  6. Step 6: Final answer
    x = 14,828,939,288.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.