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Finding the Third Proportional to 1,658,413,128 and 3,629,236,368

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Solution

The third proportional to 1,658,413,128 and 3,629,236,368 is: 7,942,144,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,413,128 : 3,629,236,368 = 3,629,236,368 : x
  2. Step 2: Convert to fraction form
    1,658,413,128/3,629,236,368 = 3,629,236,368/x
  3. Step 3: Cross multiply
    1,658,413,128x = 3,629,236,368 × 3,629,236,368
  4. Step 4: Simplify right side
    1,658,413,128x = 13,171,356,614,813,831,168
  5. Step 5: Solve for x
    x = 13,171,356,614,813,831,168/1,658,413,128
  6. Step 6: Final answer
    x = 7,942,144,446.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.