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Finding the Third Proportional to 10,018,974 and 21,928,380

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Solution

The third proportional to 10,018,974 and 21,928,380 is: 47,994,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018,974 : 21,928,380 = 21,928,380 : x
  2. Step 2: Convert to fraction form
    10,018,974/21,928,380 = 21,928,380/x
  3. Step 3: Cross multiply
    10,018,974x = 21,928,380 × 21,928,380
  4. Step 4: Simplify right side
    10,018,974x = 480,853,849,424,400
  5. Step 5: Solve for x
    x = 480,853,849,424,400/10,018,974
  6. Step 6: Final answer
    x = 47,994,320.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.