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Finding the Third Proportional to 4,651,384,692 and 7,149,511,758

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Solution

The third proportional to 4,651,384,692 and 7,149,511,758 is: 10,989,312,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,384,692 : 7,149,511,758 = 7,149,511,758 : x
  2. Step 2: Convert to fraction form
    4,651,384,692/7,149,511,758 = 7,149,511,758/x
  3. Step 3: Cross multiply
    4,651,384,692x = 7,149,511,758 × 7,149,511,758
  4. Step 4: Simplify right side
    4,651,384,692x = 51,115,518,377,780,248,576
  5. Step 5: Solve for x
    x = 51,115,518,377,780,248,576/4,651,384,692
  6. Step 6: Final answer
    x = 10,989,312,164.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.