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Finding the Third Proportional to 6,243,106 and 13,679,220

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Solution

The third proportional to 6,243,106 and 13,679,220 is: 29,972,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243,106 : 13,679,220 = 13,679,220 : x
  2. Step 2: Convert to fraction form
    6,243,106/13,679,220 = 13,679,220/x
  3. Step 3: Cross multiply
    6,243,106x = 13,679,220 × 13,679,220
  4. Step 4: Simplify right side
    6,243,106x = 187,121,059,808,400
  5. Step 5: Solve for x
    x = 187,121,059,808,400/6,243,106
  6. Step 6: Final answer
    x = 29,972,430.36

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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.