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Finding the Third Proportional to 6,301,362 and 13,743,044

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Solution

The third proportional to 6,301,362 and 13,743,044 is: 29,973,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,362 : 13,743,044 = 13,743,044 : x
  2. Step 2: Convert to fraction form
    6,301,362/13,743,044 = 13,743,044/x
  3. Step 3: Cross multiply
    6,301,362x = 13,743,044 × 13,743,044
  4. Step 4: Simplify right side
    6,301,362x = 188,871,258,385,936
  5. Step 5: Solve for x
    x = 188,871,258,385,936/6,301,362
  6. Step 6: Final answer
    x = 29,973,084.93

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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.