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Finding the Third Proportional to 1,427,477,824 and 2,182,245,798

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Solution

The third proportional to 1,427,477,824 and 2,182,245,798 is: 3,336,091,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,477,824 : 2,182,245,798 = 2,182,245,798 : x
  2. Step 2: Convert to fraction form
    1,427,477,824/2,182,245,798 = 2,182,245,798/x
  3. Step 3: Cross multiply
    1,427,477,824x = 2,182,245,798 × 2,182,245,798
  4. Step 4: Simplify right side
    1,427,477,824x = 4,762,196,722,888,656,896
  5. Step 5: Solve for x
    x = 4,762,196,722,888,656,896/1,427,477,824
  6. Step 6: Final answer
    x = 3,336,091,561.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.