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Finding the Third Proportional to 23,029,692 and 49,248,024

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Solution

The third proportional to 23,029,692 and 49,248,024 is: 105,314,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,029,692 : 49,248,024 = 49,248,024 : x
  2. Step 2: Convert to fraction form
    23,029,692/49,248,024 = 49,248,024/x
  3. Step 3: Cross multiply
    23,029,692x = 49,248,024 × 49,248,024
  4. Step 4: Simplify right side
    23,029,692x = 2,425,367,867,904,576
  5. Step 5: Solve for x
    x = 2,425,367,867,904,576/23,029,692
  6. Step 6: Final answer
    x = 105,314,820.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.