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Finding the Third Proportional to 1,415,525,072 and 2,123,287,824

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Solution

The third proportional to 1,415,525,072 and 2,123,287,824 is: 3,184,932,060.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,525,072 : 2,123,287,824 = 2,123,287,824 : x
  2. Step 2: Convert to fraction form
    1,415,525,072/2,123,287,824 = 2,123,287,824/x
  3. Step 3: Cross multiply
    1,415,525,072x = 2,123,287,824 × 2,123,287,824
  4. Step 4: Simplify right side
    1,415,525,072x = 4,508,351,183,546,654,720
  5. Step 5: Solve for x
    x = 4,508,351,183,546,654,720/1,415,525,072
  6. Step 6: Final answer
    x = 3,184,932,060.00

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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.