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Finding the Third Proportional to 1,415,525,106 and 2,123,287,881

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Solution

The third proportional to 1,415,525,106 and 2,123,287,881 is: 3,184,932,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,525,106 : 2,123,287,881 = 2,123,287,881 : x
  2. Step 2: Convert to fraction form
    1,415,525,106/2,123,287,881 = 2,123,287,881/x
  3. Step 3: Cross multiply
    1,415,525,106x = 2,123,287,881 × 2,123,287,881
  4. Step 4: Simplify right side
    1,415,525,106x = 4,508,351,425,601,469,952
  5. Step 5: Solve for x
    x = 4,508,351,425,601,469,952/1,415,525,106
  6. Step 6: Final answer
    x = 3,184,932,154.50

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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.