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Finding the Third Proportional to 14,259,274 and 29,693,580

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Solution

The third proportional to 14,259,274 and 29,693,580 is: 61,834,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259,274 : 29,693,580 = 29,693,580 : x
  2. Step 2: Convert to fraction form
    14,259,274/29,693,580 = 29,693,580/x
  3. Step 3: Cross multiply
    14,259,274x = 29,693,580 × 29,693,580
  4. Step 4: Simplify right side
    14,259,274x = 881,708,693,216,400
  5. Step 5: Solve for x
    x = 881,708,693,216,400/14,259,274
  6. Step 6: Final answer
    x = 61,834,052.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.