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Finding the Third Proportional to 13,007,988 and 19,323,414

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Solution

The third proportional to 13,007,988 and 19,323,414 is: 28,705,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007,988 : 19,323,414 = 19,323,414 : x
  2. Step 2: Convert to fraction form
    13,007,988/19,323,414 = 19,323,414/x
  3. Step 3: Cross multiply
    13,007,988x = 19,323,414 × 19,323,414
  4. Step 4: Simplify right side
    13,007,988x = 373,394,328,615,396
  5. Step 5: Solve for x
    x = 373,394,328,615,396/13,007,988
  6. Step 6: Final answer
    x = 28,705,002.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.