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Finding the Third Proportional to 8,972,648 and 19,569,346

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Solution

The third proportional to 8,972,648 and 19,569,346 is: 42,680,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,648 : 19,569,346 = 19,569,346 : x
  2. Step 2: Convert to fraction form
    8,972,648/19,569,346 = 19,569,346/x
  3. Step 3: Cross multiply
    8,972,648x = 19,569,346 × 19,569,346
  4. Step 4: Simplify right side
    8,972,648x = 382,959,302,867,716
  5. Step 5: Solve for x
    x = 382,959,302,867,716/8,972,648
  6. Step 6: Final answer
    x = 42,680,745.18

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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.