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Finding the Third Proportional to 50,072,547 and 106,758,989

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Solution

The third proportional to 50,072,547 and 106,758,989 is: 227,619,372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072,547 : 106,758,989 = 106,758,989 : x
  2. Step 2: Convert to fraction form
    50,072,547/106,758,989 = 106,758,989/x
  3. Step 3: Cross multiply
    50,072,547x = 106,758,989 × 106,758,989
  4. Step 4: Simplify right side
    50,072,547x = 11,397,481,732,302,120
  5. Step 5: Solve for x
    x = 11,397,481,732,302,120/50,072,547
  6. Step 6: Final answer
    x = 227,619,372.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.