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Finding the Third Proportional to 387,645,968 and 850,611,400

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Solution

The third proportional to 387,645,968 and 850,611,400 is: 1,866,496,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,968 : 850,611,400 = 850,611,400 : x
  2. Step 2: Convert to fraction form
    387,645,968/850,611,400 = 850,611,400/x
  3. Step 3: Cross multiply
    387,645,968x = 850,611,400 × 850,611,400
  4. Step 4: Simplify right side
    387,645,968x = 723,539,753,809,959,936
  5. Step 5: Solve for x
    x = 723,539,753,809,959,936/387,645,968
  6. Step 6: Final answer
    x = 1,866,496,271.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.