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Finding the Third Proportional to 13,509,864 and 19,907,460

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Solution

The third proportional to 13,509,864 and 19,907,460 is: 29,334,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509,864 : 19,907,460 = 19,907,460 : x
  2. Step 2: Convert to fraction form
    13,509,864/19,907,460 = 19,907,460/x
  3. Step 3: Cross multiply
    13,509,864x = 19,907,460 × 19,907,460
  4. Step 4: Simplify right side
    13,509,864x = 396,306,963,651,600
  5. Step 5: Solve for x
    x = 396,306,963,651,600/13,509,864
  6. Step 6: Final answer
    x = 29,334,637.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.