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Finding the Third Proportional to 3,462,977,466 and 7,416,297,919.50

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Solution

The third proportional to 3,462,977,466 and 7,416,297,919.50 is: 15,882,712,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462,977,466 : 7,416,297,919.50 = 7,416,297,919.50 : x
  2. Step 2: Convert to fraction form
    3,462,977,466/7,416,297,919.50 = 7,416,297,919.50/x
  3. Step 3: Cross multiply
    3,462,977,466x = 7,416,297,919.50 × 7,416,297,919.50
  4. Step 4: Simplify right side
    3,462,977,466x = 55,001,474,830,780,030,976
  5. Step 5: Solve for x
    x = 55,001,474,830,780,030,976/3,462,977,466
  6. Step 6: Final answer
    x = 15,882,712,310.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.