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Finding the Third Proportional to 552,925,737 and 1,187,907,147

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Solution

The third proportional to 552,925,737 and 1,187,907,147 is: 2,552,102,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,925,737 : 1,187,907,147 = 1,187,907,147 : x
  2. Step 2: Convert to fraction form
    552,925,737/1,187,907,147 = 1,187,907,147/x
  3. Step 3: Cross multiply
    552,925,737x = 1,187,907,147 × 1,187,907,147
  4. Step 4: Simplify right side
    552,925,737x = 1,411,123,389,893,679,616
  5. Step 5: Solve for x
    x = 1,411,123,389,893,679,616/552,925,737
  6. Step 6: Final answer
    x = 2,552,102,923.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.