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Finding the Third Proportional to 5,416,829,756 and 7,628,089,948

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Solution

The third proportional to 5,416,829,756 and 7,628,089,948 is: 10,742,031,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,829,756 : 7,628,089,948 = 7,628,089,948 : x
  2. Step 2: Convert to fraction form
    5,416,829,756/7,628,089,948 = 7,628,089,948/x
  3. Step 3: Cross multiply
    5,416,829,756x = 7,628,089,948 × 7,628,089,948
  4. Step 4: Simplify right side
    5,416,829,756x = 58,187,756,254,778,646,528
  5. Step 5: Solve for x
    x = 58,187,756,254,778,646,528/5,416,829,756
  6. Step 6: Final answer
    x = 10,742,031,571.20

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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.