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Finding the Third Proportional to 12,567,844 and 19,216,984

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Solution

The third proportional to 12,567,844 and 19,216,984 is: 29,383,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,844 : 19,216,984 = 19,216,984 : x
  2. Step 2: Convert to fraction form
    12,567,844/19,216,984 = 19,216,984/x
  3. Step 3: Cross multiply
    12,567,844x = 19,216,984 × 19,216,984
  4. Step 4: Simplify right side
    12,567,844x = 369,292,474,056,256
  5. Step 5: Solve for x
    x = 369,292,474,056,256/12,567,844
  6. Step 6: Final answer
    x = 29,383,916.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.