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Finding the Third Proportional to 853,671,165 and 1,903,628,996

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Solution

The third proportional to 853,671,165 and 1,903,628,996 is: 4,244,963,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,671,165 : 1,903,628,996 = 1,903,628,996 : x
  2. Step 2: Convert to fraction form
    853,671,165/1,903,628,996 = 1,903,628,996/x
  3. Step 3: Cross multiply
    853,671,165x = 1,903,628,996 × 1,903,628,996
  4. Step 4: Simplify right side
    853,671,165x = 3,623,803,354,411,968,000
  5. Step 5: Solve for x
    x = 3,623,803,354,411,968,000/853,671,165
  6. Step 6: Final answer
    x = 4,244,963,989.63

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.