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Finding the Third Proportional to 1,237,847,917.50 and 1,851,864,042

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Solution

The third proportional to 1,237,847,917.50 and 1,851,864,042 is: 2,770,453,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,847,917.50 : 1,851,864,042 = 1,851,864,042 : x
  2. Step 2: Convert to fraction form
    1,237,847,917.50/1,851,864,042 = 1,851,864,042/x
  3. Step 3: Cross multiply
    1,237,847,917.50x = 1,851,864,042 × 1,851,864,042
  4. Step 4: Simplify right side
    1,237,847,917.50x = 3,429,400,430,052,577,792
  5. Step 5: Solve for x
    x = 3,429,400,430,052,577,792/1,237,847,917.50
  6. Step 6: Final answer
    x = 2,770,453,770.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.