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Finding the Third Proportional to 77,779,761 and 167,617,914

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Solution

The third proportional to 77,779,761 and 167,617,914 is: 361,222,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779,761 : 167,617,914 = 167,617,914 : x
  2. Step 2: Convert to fraction form
    77,779,761/167,617,914 = 167,617,914/x
  3. Step 3: Cross multiply
    77,779,761x = 167,617,914 × 167,617,914
  4. Step 4: Simplify right side
    77,779,761x = 28,095,765,093,711,396
  5. Step 5: Solve for x
    x = 28,095,765,093,711,396/77,779,761
  6. Step 6: Final answer
    x = 361,222,054.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.