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Finding the Third Proportional to 2,429,620,502 and 3,628,509,634

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Solution

The third proportional to 2,429,620,502 and 3,628,509,634 is: 5,418,987,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,620,502 : 3,628,509,634 = 3,628,509,634 : x
  2. Step 2: Convert to fraction form
    2,429,620,502/3,628,509,634 = 3,628,509,634/x
  3. Step 3: Cross multiply
    2,429,620,502x = 3,628,509,634 × 3,628,509,634
  4. Step 4: Simplify right side
    2,429,620,502x = 13,166,082,164,030,814,208
  5. Step 5: Solve for x
    x = 13,166,082,164,030,814,208/2,429,620,502
  6. Step 6: Final answer
    x = 5,418,987,102.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.