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Finding the Third Proportional to 220,142,816 and 474,756,640

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Solution

The third proportional to 220,142,816 and 474,756,640 is: 1,023,852,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,142,816 : 474,756,640 = 474,756,640 : x
  2. Step 2: Convert to fraction form
    220,142,816/474,756,640 = 474,756,640/x
  3. Step 3: Cross multiply
    220,142,816x = 474,756,640 × 474,756,640
  4. Step 4: Simplify right side
    220,142,816x = 225,393,867,224,089,600
  5. Step 5: Solve for x
    x = 225,393,867,224,089,600/220,142,816
  6. Step 6: Final answer
    x = 1,023,852,930.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.