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Finding the Third Proportional to 9,646,263 and 21,235,608

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Solution

The third proportional to 9,646,263 and 21,235,608 is: 46,748,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,263 : 21,235,608 = 21,235,608 : x
  2. Step 2: Convert to fraction form
    9,646,263/21,235,608 = 21,235,608/x
  3. Step 3: Cross multiply
    9,646,263x = 21,235,608 × 21,235,608
  4. Step 4: Simplify right side
    9,646,263x = 450,951,047,129,664
  5. Step 5: Solve for x
    x = 450,951,047,129,664/9,646,263
  6. Step 6: Final answer
    x = 46,748,782.11

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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.