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Finding the Third Proportional to 4,099,341,813,414 and 8,537,983,727,508

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Solution

The third proportional to 4,099,341,813,414 and 8,537,983,727,508 is: 17,782,651,325,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,341,813,414 : 8,537,983,727,508 = 8,537,983,727,508 : x
  2. Step 2: Convert to fraction form
    4,099,341,813,414/8,537,983,727,508 = 8,537,983,727,508/x
  3. Step 3: Cross multiply
    4,099,341,813,414x = 8,537,983,727,508 × 8,537,983,727,508
  4. Step 4: Simplify right side
    4,099,341,813,414x = 72,897,166,131,191,404,361,154,560
  5. Step 5: Solve for x
    x = 72,897,166,131,191,404,361,154,560/4,099,341,813,414
  6. Step 6: Final answer
    x = 17,782,651,325,306.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.