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Finding the Third Proportional to 13,382,897,548.50 and 20,246,750,415

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Solution

The third proportional to 13,382,897,548.50 and 20,246,750,415 is: 30,630,952,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382,897,548.50 : 20,246,750,415 = 20,246,750,415 : x
  2. Step 2: Convert to fraction form
    13,382,897,548.50/20,246,750,415 = 20,246,750,415/x
  3. Step 3: Cross multiply
    13,382,897,548.50x = 20,246,750,415 × 20,246,750,415
  4. Step 4: Simplify right side
    13,382,897,548.50x = 409,930,902,367,302,647,808
  5. Step 5: Solve for x
    x = 409,930,902,367,302,647,808/13,382,897,548.50
  6. Step 6: Final answer
    x = 30,630,952,742.61

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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.