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Finding the Third Proportional to 19,323,144 and 41,672,784

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Solution

The third proportional to 19,323,144 and 41,672,784 is: 89,872,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323,144 : 41,672,784 = 41,672,784 : x
  2. Step 2: Convert to fraction form
    19,323,144/41,672,784 = 41,672,784/x
  3. Step 3: Cross multiply
    19,323,144x = 41,672,784 × 41,672,784
  4. Step 4: Simplify right side
    19,323,144x = 1,736,620,926,310,656
  5. Step 5: Solve for x
    x = 1,736,620,926,310,656/19,323,144
  6. Step 6: Final answer
    x = 89,872,586.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.