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Finding the Third Proportional to 952,203,799.50 and 1,470,735,445.50

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Solution

The third proportional to 952,203,799.50 and 1,470,735,445.50 is: 2,271,638,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,203,799.50 : 1,470,735,445.50 = 1,470,735,445.50 : x
  2. Step 2: Convert to fraction form
    952,203,799.50/1,470,735,445.50 = 1,470,735,445.50/x
  3. Step 3: Cross multiply
    952,203,799.50x = 1,470,735,445.50 × 1,470,735,445.50
  4. Step 4: Simplify right side
    952,203,799.50x = 2,163,062,750,650,083,584
  5. Step 5: Solve for x
    x = 2,163,062,750,650,083,584/952,203,799.50
  6. Step 6: Final answer
    x = 2,271,638,436.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.