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Finding the Third Proportional to 387,645,962 and 850,611,388

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Solution

The third proportional to 387,645,962 and 850,611,388 is: 1,866,496,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,645,962 : 850,611,388 = 850,611,388 : x
  2. Step 2: Convert to fraction form
    387,645,962/850,611,388 = 850,611,388/x
  3. Step 3: Cross multiply
    387,645,962x = 850,611,388 × 850,611,388
  4. Step 4: Simplify right side
    387,645,962x = 723,539,733,395,286,528
  5. Step 5: Solve for x
    x = 723,539,733,395,286,528/387,645,962
  6. Step 6: Final answer
    x = 1,866,496,247.41

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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.