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Finding the Third Proportional to 9,646,266 and 21,235,614

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Solution

The third proportional to 9,646,266 and 21,235,614 is: 46,748,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,266 : 21,235,614 = 21,235,614 : x
  2. Step 2: Convert to fraction form
    9,646,266/21,235,614 = 21,235,614/x
  3. Step 3: Cross multiply
    9,646,266x = 21,235,614 × 21,235,614
  4. Step 4: Simplify right side
    9,646,266x = 450,951,301,956,996
  5. Step 5: Solve for x
    x = 450,951,301,956,996/9,646,266
  6. Step 6: Final answer
    x = 46,748,793.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.