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Finding the Third Proportional to 1,035,484,668 and 2,224,654,212

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Solution

The third proportional to 1,035,484,668 and 2,224,654,212 is: 4,779,487,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,484,668 : 2,224,654,212 = 2,224,654,212 : x
  2. Step 2: Convert to fraction form
    1,035,484,668/2,224,654,212 = 2,224,654,212/x
  3. Step 3: Cross multiply
    1,035,484,668x = 2,224,654,212 × 2,224,654,212
  4. Step 4: Simplify right side
    1,035,484,668x = 4,949,086,362,969,340,928
  5. Step 5: Solve for x
    x = 4,949,086,362,969,340,928/1,035,484,668
  6. Step 6: Final answer
    x = 4,779,487,824.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.