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Finding the Third Proportional to 2,923,129 and 6,377,447

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Solution

The third proportional to 2,923,129 and 6,377,447 is: 13,913,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923,129 : 6,377,447 = 6,377,447 : x
  2. Step 2: Convert to fraction form
    2,923,129/6,377,447 = 6,377,447/x
  3. Step 3: Cross multiply
    2,923,129x = 6,377,447 × 6,377,447
  4. Step 4: Simplify right side
    2,923,129x = 40,671,830,237,809
  5. Step 5: Solve for x
    x = 40,671,830,237,809/2,923,129
  6. Step 6: Final answer
    x = 13,913,799.30

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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.