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Finding the Third Proportional to 13,423,016,868 and 20,190,566,388

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Solution

The third proportional to 13,423,016,868 and 20,190,566,388 is: 30,370,145,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423,016,868 : 20,190,566,388 = 20,190,566,388 : x
  2. Step 2: Convert to fraction form
    13,423,016,868/20,190,566,388 = 20,190,566,388/x
  3. Step 3: Cross multiply
    13,423,016,868x = 20,190,566,388 × 20,190,566,388
  4. Step 4: Simplify right side
    13,423,016,868x = 407,658,971,068,235,382,784
  5. Step 5: Solve for x
    x = 407,658,971,068,235,382,784/13,423,016,868
  6. Step 6: Final answer
    x = 30,370,145,182.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.