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Finding the Third Proportional to 12,013,924 and 25,622,576

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Solution

The third proportional to 12,013,924 and 25,622,576 is: 54,646,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013,924 : 25,622,576 = 25,622,576 : x
  2. Step 2: Convert to fraction form
    12,013,924/25,622,576 = 25,622,576/x
  3. Step 3: Cross multiply
    12,013,924x = 25,622,576 × 25,622,576
  4. Step 4: Simplify right side
    12,013,924x = 656,516,400,875,776
  5. Step 5: Solve for x
    x = 656,516,400,875,776/12,013,924
  6. Step 6: Final answer
    x = 54,646,292.16

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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.