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Finding the Third Proportional to 4,199,661,689.50 and 8,998,347,770

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Solution

The third proportional to 4,199,661,689.50 and 8,998,347,770 is: 19,280,186,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,661,689.50 : 8,998,347,770 = 8,998,347,770 : x
  2. Step 2: Convert to fraction form
    4,199,661,689.50/8,998,347,770 = 8,998,347,770/x
  3. Step 3: Cross multiply
    4,199,661,689.50x = 8,998,347,770 × 8,998,347,770
  4. Step 4: Simplify right side
    4,199,661,689.50x = 80,970,262,589,863,968,768
  5. Step 5: Solve for x
    x = 80,970,262,589,863,968,768/4,199,661,689.50
  6. Step 6: Final answer
    x = 19,280,186,971.32

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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.