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Finding the Third Proportional to 22,771,662.50 and 49,586,537

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Solution

The third proportional to 22,771,662.50 and 49,586,537 is: 107,977,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771,662.50 : 49,586,537 = 49,586,537 : x
  2. Step 2: Convert to fraction form
    22,771,662.50/49,586,537 = 49,586,537/x
  3. Step 3: Cross multiply
    22,771,662.50x = 49,586,537 × 49,586,537
  4. Step 4: Simplify right side
    22,771,662.50x = 2,458,824,651,652,369
  5. Step 5: Solve for x
    x = 2,458,824,651,652,369/22,771,662.50
  6. Step 6: Final answer
    x = 107,977,388.64

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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.