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Finding the Third Proportional to 465,919,256.25 and 1,035,265,956.75

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Solution

The third proportional to 465,919,256.25 and 1,035,265,956.75 is: 2,300,346,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,919,256.25 : 1,035,265,956.75 = 1,035,265,956.75 : x
  2. Step 2: Convert to fraction form
    465,919,256.25/1,035,265,956.75 = 1,035,265,956.75/x
  3. Step 3: Cross multiply
    465,919,256.25x = 1,035,265,956.75 × 1,035,265,956.75
  4. Step 4: Simplify right side
    465,919,256.25x = 1,071,775,601,205,492,864
  5. Step 5: Solve for x
    x = 1,071,775,601,205,492,864/465,919,256.25
  6. Step 6: Final answer
    x = 2,300,346,222.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.