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Finding the Third Proportional to 3,458,989,427,780 and 7,438,544,870,742

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Solution

The third proportional to 3,458,989,427,780 and 7,438,544,870,742 is: 15,996,565,167,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,989,427,780 : 7,438,544,870,742 = 7,438,544,870,742 : x
  2. Step 2: Convert to fraction form
    3,458,989,427,780/7,438,544,870,742 = 7,438,544,870,742/x
  3. Step 3: Cross multiply
    3,458,989,427,780x = 7,438,544,870,742 × 7,438,544,870,742
  4. Step 4: Simplify right side
    3,458,989,427,780x = 55,331,949,794,042,120,656,388,096
  5. Step 5: Solve for x
    x = 55,331,949,794,042,120,656,388,096/3,458,989,427,780
  6. Step 6: Final answer
    x = 15,996,565,167,172.11

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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.