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Finding the Third Proportional to 6,766,461 and 14,654,852

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Solution

The third proportional to 6,766,461 and 14,654,852 is: 31,739,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,461 : 14,654,852 = 14,654,852 : x
  2. Step 2: Convert to fraction form
    6,766,461/14,654,852 = 14,654,852/x
  3. Step 3: Cross multiply
    6,766,461x = 14,654,852 × 14,654,852
  4. Step 4: Simplify right side
    6,766,461x = 214,764,687,141,904
  5. Step 5: Solve for x
    x = 214,764,687,141,904/6,766,461
  6. Step 6: Final answer
    x = 31,739,588.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.