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Finding the Third Proportional to 12,584,804 and 19,047,351

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Solution

The third proportional to 12,584,804 and 19,047,351 is: 28,828,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,804 : 19,047,351 = 19,047,351 : x
  2. Step 2: Convert to fraction form
    12,584,804/19,047,351 = 19,047,351/x
  3. Step 3: Cross multiply
    12,584,804x = 19,047,351 × 19,047,351
  4. Step 4: Simplify right side
    12,584,804x = 362,801,580,117,201
  5. Step 5: Solve for x
    x = 362,801,580,117,201/12,584,804
  6. Step 6: Final answer
    x = 28,828,544.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.