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Finding the Third Proportional to 6,685,848 and 14,435,712

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Solution

The third proportional to 6,685,848 and 14,435,712 is: 31,168,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,848 : 14,435,712 = 14,435,712 : x
  2. Step 2: Convert to fraction form
    6,685,848/14,435,712 = 14,435,712/x
  3. Step 3: Cross multiply
    6,685,848x = 14,435,712 × 14,435,712
  4. Step 4: Simplify right side
    6,685,848x = 208,389,780,946,944
  5. Step 5: Solve for x
    x = 208,389,780,946,944/6,685,848
  6. Step 6: Final answer
    x = 31,168,788.30

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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.