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Finding the Third Proportional to 13,850,836 and 20,698,730

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Solution

The third proportional to 13,850,836 and 20,698,730 is: 30,932,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850,836 : 20,698,730 = 20,698,730 : x
  2. Step 2: Convert to fraction form
    13,850,836/20,698,730 = 20,698,730/x
  3. Step 3: Cross multiply
    13,850,836x = 20,698,730 × 20,698,730
  4. Step 4: Simplify right side
    13,850,836x = 428,437,423,612,900
  5. Step 5: Solve for x
    x = 428,437,423,612,900/13,850,836
  6. Step 6: Final answer
    x = 30,932,242.91

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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.