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Finding the Third Proportional to 1,035,117,825.75 and 2,228,073,648.75

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Solution

The third proportional to 1,035,117,825.75 and 2,228,073,648.75 is: 4,795,890,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,117,825.75 : 2,228,073,648.75 = 2,228,073,648.75 : x
  2. Step 2: Convert to fraction form
    1,035,117,825.75/2,228,073,648.75 = 2,228,073,648.75/x
  3. Step 3: Cross multiply
    1,035,117,825.75x = 2,228,073,648.75 × 2,228,073,648.75
  4. Step 4: Simplify right side
    1,035,117,825.75x = 4,964,312,184,254,138,368
  5. Step 5: Solve for x
    x = 4,964,312,184,254,138,368/1,035,117,825.75
  6. Step 6: Final answer
    x = 4,795,890,922.52

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