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Finding the Third Proportional to 9,024,288 and 19,702,254

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Solution

The third proportional to 9,024,288 and 19,702,254 is: 43,014,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024,288 : 19,702,254 = 19,702,254 : x
  2. Step 2: Convert to fraction form
    9,024,288/19,702,254 = 19,702,254/x
  3. Step 3: Cross multiply
    9,024,288x = 19,702,254 × 19,702,254
  4. Step 4: Simplify right side
    9,024,288x = 388,178,812,680,516
  5. Step 5: Solve for x
    x = 388,178,812,680,516/9,024,288
  6. Step 6: Final answer
    x = 43,014,896.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.