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Finding the Third Proportional to 52,097,914 and 76,585,999

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Solution

The third proportional to 52,097,914 and 76,585,999 is: 112,584,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097,914 : 76,585,999 = 76,585,999 : x
  2. Step 2: Convert to fraction form
    52,097,914/76,585,999 = 76,585,999/x
  3. Step 3: Cross multiply
    52,097,914x = 76,585,999 × 76,585,999
  4. Step 4: Simplify right side
    52,097,914x = 5,865,415,242,828,001
  5. Step 5: Solve for x
    x = 5,865,415,242,828,001/52,097,914
  6. Step 6: Final answer
    x = 112,584,454.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.