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Finding the Third Proportional to 4,113,036,660 and 6,265,926,846

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Solution

The third proportional to 4,113,036,660 and 6,265,926,846 is: 9,545,706,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113,036,660 : 6,265,926,846 = 6,265,926,846 : x
  2. Step 2: Convert to fraction form
    4,113,036,660/6,265,926,846 = 6,265,926,846/x
  3. Step 3: Cross multiply
    4,113,036,660x = 6,265,926,846 × 6,265,926,846
  4. Step 4: Simplify right side
    4,113,036,660x = 39,261,839,239,423,508,480
  5. Step 5: Solve for x
    x = 39,261,839,239,423,508,480/4,113,036,660
  6. Step 6: Final answer
    x = 9,545,706,125.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.