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Finding the Third Proportional to 399,622,245,416 and 862,937,346,102

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Solution

The third proportional to 399,622,245,416 and 862,937,346,102 is: 1,863,411,939,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,622,245,416 : 862,937,346,102 = 862,937,346,102 : x
  2. Step 2: Convert to fraction form
    399,622,245,416/862,937,346,102 = 862,937,346,102/x
  3. Step 3: Cross multiply
    399,622,245,416x = 862,937,346,102 × 862,937,346,102
  4. Step 4: Simplify right side
    399,622,245,416x = 744,660,863,297,562,985,103,360
  5. Step 5: Solve for x
    x = 744,660,863,297,562,985,103,360/399,622,245,416
  6. Step 6: Final answer
    x = 1,863,411,939,248.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.