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Finding the Third Proportional to 8,757,894 and 13,946,304

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Solution

The third proportional to 8,757,894 and 13,946,304 is: 22,208,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,757,894 : 13,946,304 = 13,946,304 : x
  2. Step 2: Convert to fraction form
    8,757,894/13,946,304 = 13,946,304/x
  3. Step 3: Cross multiply
    8,757,894x = 13,946,304 × 13,946,304
  4. Step 4: Simplify right side
    8,757,894x = 194,499,395,260,416
  5. Step 5: Solve for x
    x = 194,499,395,260,416/8,757,894
  6. Step 6: Final answer
    x = 22,208,466.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.