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Finding the Third Proportional to 6,372,984 and 13,760,160

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Solution

The third proportional to 6,372,984 and 13,760,160 is: 29,710,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372,984 : 13,760,160 = 13,760,160 : x
  2. Step 2: Convert to fraction form
    6,372,984/13,760,160 = 13,760,160/x
  3. Step 3: Cross multiply
    6,372,984x = 13,760,160 × 13,760,160
  4. Step 4: Simplify right side
    6,372,984x = 189,342,003,225,600
  5. Step 5: Solve for x
    x = 189,342,003,225,600/6,372,984
  6. Step 6: Final answer
    x = 29,710,101.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.