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Finding the Third Proportional to 17,838,400 and 26,924,784

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Solution

The third proportional to 17,838,400 and 26,924,784 is: 40,639,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838,400 : 26,924,784 = 26,924,784 : x
  2. Step 2: Convert to fraction form
    17,838,400/26,924,784 = 26,924,784/x
  3. Step 3: Cross multiply
    17,838,400x = 26,924,784 × 26,924,784
  4. Step 4: Simplify right side
    17,838,400x = 724,943,993,446,656
  5. Step 5: Solve for x
    x = 724,943,993,446,656/17,838,400
  6. Step 6: Final answer
    x = 40,639,518.87

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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.