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Finding the Third Proportional to 515,836,702.13 and 1,089,896,203.13

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Solution

The third proportional to 515,836,702.13 and 1,089,896,203.13 is: 2,302,809,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,836,702.13 : 1,089,896,203.13 = 1,089,896,203.13 : x
  2. Step 2: Convert to fraction form
    515,836,702.13/1,089,896,203.13 = 1,089,896,203.13/x
  3. Step 3: Cross multiply
    515,836,702.13x = 1,089,896,203.13 × 1,089,896,203.13
  4. Step 4: Simplify right side
    515,836,702.13x = 1,187,873,733,586,291,200
  5. Step 5: Solve for x
    x = 1,187,873,733,586,291,200/515,836,702.13
  6. Step 6: Final answer
    x = 2,302,809,646.33

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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.