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Finding the Third Proportional to 287,683,610.25 and 620,271,594.75

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Solution

The third proportional to 287,683,610.25 and 620,271,594.75 is: 1,337,361,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,683,610.25 : 620,271,594.75 = 620,271,594.75 : x
  2. Step 2: Convert to fraction form
    287,683,610.25/620,271,594.75 = 620,271,594.75/x
  3. Step 3: Cross multiply
    287,683,610.25x = 620,271,594.75 × 620,271,594.75
  4. Step 4: Simplify right side
    287,683,610.25x = 384,736,851,253,708,224
  5. Step 5: Solve for x
    x = 384,736,851,253,708,224/287,683,610.25
  6. Step 6: Final answer
    x = 1,337,361,036.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.