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Finding the Third Proportional to 23,076,028 and 49,240,712

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Solution

The third proportional to 23,076,028 and 49,240,712 is: 105,072,143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076,028 : 49,240,712 = 49,240,712 : x
  2. Step 2: Convert to fraction form
    23,076,028/49,240,712 = 49,240,712/x
  3. Step 3: Cross multiply
    23,076,028x = 49,240,712 × 49,240,712
  4. Step 4: Simplify right side
    23,076,028x = 2,424,647,718,266,944
  5. Step 5: Solve for x
    x = 2,424,647,718,266,944/23,076,028
  6. Step 6: Final answer
    x = 105,072,143.19

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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.