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Finding the Third Proportional to 3,909,852,745,480.40 and 8,417,252,700,849

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Solution

The third proportional to 3,909,852,745,480.40 and 8,417,252,700,849 is: 18,120,923,636,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909,852,745,480.40 : 8,417,252,700,849 = 8,417,252,700,849 : x
  2. Step 2: Convert to fraction form
    3,909,852,745,480.40/8,417,252,700,849 = 8,417,252,700,849/x
  3. Step 3: Cross multiply
    3,909,852,745,480.40x = 8,417,252,700,849 × 8,417,252,700,849
  4. Step 4: Simplify right side
    3,909,852,745,480.40x = 70,850,143,029,949,787,447,230,464
  5. Step 5: Solve for x
    x = 70,850,143,029,949,787,447,230,464/3,909,852,745,480.40
  6. Step 6: Final answer
    x = 18,120,923,636,279.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.