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Finding the Third Proportional to 1,464,598,228 and 2,210,517,296

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Solution

The third proportional to 1,464,598,228 and 2,210,517,296 is: 3,336,332,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,598,228 : 2,210,517,296 = 2,210,517,296 : x
  2. Step 2: Convert to fraction form
    1,464,598,228/2,210,517,296 = 2,210,517,296/x
  3. Step 3: Cross multiply
    1,464,598,228x = 2,210,517,296 × 2,210,517,296
  4. Step 4: Simplify right side
    1,464,598,228x = 4,886,386,715,915,151,360
  5. Step 5: Solve for x
    x = 4,886,386,715,915,151,360/1,464,598,228
  6. Step 6: Final answer
    x = 3,336,332,533.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.