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Finding the Third Proportional to 2,097,003,413 and 3,494,586,648

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Solution

The third proportional to 2,097,003,413 and 3,494,586,648 is: 5,823,612,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,003,413 : 3,494,586,648 = 3,494,586,648 : x
  2. Step 2: Convert to fraction form
    2,097,003,413/3,494,586,648 = 3,494,586,648/x
  3. Step 3: Cross multiply
    2,097,003,413x = 3,494,586,648 × 3,494,586,648
  4. Step 4: Simplify right side
    2,097,003,413x = 12,212,135,840,379,875,328
  5. Step 5: Solve for x
    x = 12,212,135,840,379,875,328/2,097,003,413
  6. Step 6: Final answer
    x = 5,823,612,763.18

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.