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Finding the Third Proportional to 24,690,971.25 and 57,176,948.25

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Solution

The third proportional to 24,690,971.25 and 57,176,948.25 is: 132,404,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690,971.25 : 57,176,948.25 = 57,176,948.25 : x
  2. Step 2: Convert to fraction form
    24,690,971.25/57,176,948.25 = 57,176,948.25/x
  3. Step 3: Cross multiply
    24,690,971.25x = 57,176,948.25 × 57,176,948.25
  4. Step 4: Simplify right side
    24,690,971.25x = 3,269,203,411,183,178
  5. Step 5: Solve for x
    x = 3,269,203,411,183,178/24,690,971.25
  6. Step 6: Final answer
    x = 132,404,812.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.