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Finding the Third Proportional to 5,851,480.50 and 7,766,401.50

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Solution

The third proportional to 5,851,480.50 and 7,766,401.50 is: 10,307,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851,480.50 : 7,766,401.50 = 7,766,401.50 : x
  2. Step 2: Convert to fraction form
    5,851,480.50/7,766,401.50 = 7,766,401.50/x
  3. Step 3: Cross multiply
    5,851,480.50x = 7,766,401.50 × 7,766,401.50
  4. Step 4: Simplify right side
    5,851,480.50x = 60,316,992,259,202.25
  5. Step 5: Solve for x
    x = 60,316,992,259,202.25/5,851,480.50
  6. Step 6: Final answer
    x = 10,307,988.25

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