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Finding the Third Proportional to 5,416,829,775 and 7,628,089,977

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Solution

The third proportional to 5,416,829,775 and 7,628,089,977 is: 10,742,031,615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,829,775 : 7,628,089,977 = 7,628,089,977 : x
  2. Step 2: Convert to fraction form
    5,416,829,775/7,628,089,977 = 7,628,089,977/x
  3. Step 3: Cross multiply
    5,416,829,775x = 7,628,089,977 × 7,628,089,977
  4. Step 4: Simplify right side
    5,416,829,775x = 58,187,756,697,207,857,152
  5. Step 5: Solve for x
    x = 58,187,756,697,207,857,152/5,416,829,775
  6. Step 6: Final answer
    x = 10,742,031,615.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.