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Finding the Third Proportional to 34,740,698 and 46,315,659

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Solution

The third proportional to 34,740,698 and 46,315,659 is: 61,747,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,740,698 : 46,315,659 = 46,315,659 : x
  2. Step 2: Convert to fraction form
    34,740,698/46,315,659 = 46,315,659/x
  3. Step 3: Cross multiply
    34,740,698x = 46,315,659 × 46,315,659
  4. Step 4: Simplify right side
    34,740,698x = 2,145,140,268,604,281
  5. Step 5: Solve for x
    x = 2,145,140,268,604,281/34,740,698
  6. Step 6: Final answer
    x = 61,747,183.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.