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Finding the Third Proportional to 2,154,704,938 and 3,032,977,111

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Solution

The third proportional to 2,154,704,938 and 3,032,977,111 is: 4,269,238,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,704,938 : 3,032,977,111 = 3,032,977,111 : x
  2. Step 2: Convert to fraction form
    2,154,704,938/3,032,977,111 = 3,032,977,111/x
  3. Step 3: Cross multiply
    2,154,704,938x = 3,032,977,111 × 3,032,977,111
  4. Step 4: Simplify right side
    2,154,704,938x = 9,198,950,155,849,906,176
  5. Step 5: Solve for x
    x = 9,198,950,155,849,906,176/2,154,704,938
  6. Step 6: Final answer
    x = 4,269,238,907.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.