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Finding the Third Proportional to 4,615,882 and 10,684,932

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Solution

The third proportional to 4,615,882 and 10,684,932 is: 24,733,685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615,882 : 10,684,932 = 10,684,932 : x
  2. Step 2: Convert to fraction form
    4,615,882/10,684,932 = 10,684,932/x
  3. Step 3: Cross multiply
    4,615,882x = 10,684,932 × 10,684,932
  4. Step 4: Simplify right side
    4,615,882x = 114,167,771,844,624
  5. Step 5: Solve for x
    x = 114,167,771,844,624/4,615,882
  6. Step 6: Final answer
    x = 24,733,685.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.