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Finding the Third Proportional to 14,678,496 and 22,672,224

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Solution

The third proportional to 14,678,496 and 22,672,224 is: 35,019,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678,496 : 22,672,224 = 22,672,224 : x
  2. Step 2: Convert to fraction form
    14,678,496/22,672,224 = 22,672,224/x
  3. Step 3: Cross multiply
    14,678,496x = 22,672,224 × 22,672,224
  4. Step 4: Simplify right side
    14,678,496x = 514,029,741,106,176
  5. Step 5: Solve for x
    x = 514,029,741,106,176/14,678,496
  6. Step 6: Final answer
    x = 35,019,237.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.