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Finding the Third Proportional to 515,836,701 and 1,089,896,202

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Solution

The third proportional to 515,836,701 and 1,089,896,202 is: 2,302,809,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,836,701 : 1,089,896,202 = 1,089,896,202 : x
  2. Step 2: Convert to fraction form
    515,836,701/1,089,896,202 = 1,089,896,202/x
  3. Step 3: Cross multiply
    515,836,701x = 1,089,896,202 × 1,089,896,202
  4. Step 4: Simplify right side
    515,836,701x = 1,187,873,731,134,024,704
  5. Step 5: Solve for x
    x = 1,187,873,731,134,024,704/515,836,701
  6. Step 6: Final answer
    x = 2,302,809,646.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.