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Finding the Third Proportional to 1,429,546,616 and 2,089,458,325

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Solution

The third proportional to 1,429,546,616 and 2,089,458,325 is: 3,054,000,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,546,616 : 2,089,458,325 = 2,089,458,325 : x
  2. Step 2: Convert to fraction form
    1,429,546,616/2,089,458,325 = 2,089,458,325/x
  3. Step 3: Cross multiply
    1,429,546,616x = 2,089,458,325 × 2,089,458,325
  4. Step 4: Simplify right side
    1,429,546,616x = 4,365,836,091,911,805,440
  5. Step 5: Solve for x
    x = 4,365,836,091,911,805,440/1,429,546,616
  6. Step 6: Final answer
    x = 3,054,000,508.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.