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Finding the Third Proportional to 846,838,017 and 1,763,268,844.50

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Solution

The third proportional to 846,838,017 and 1,763,268,844.50 is: 3,671,442,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,838,017 : 1,763,268,844.50 = 1,763,268,844.50 : x
  2. Step 2: Convert to fraction form
    846,838,017/1,763,268,844.50 = 1,763,268,844.50/x
  3. Step 3: Cross multiply
    846,838,017x = 1,763,268,844.50 × 1,763,268,844.50
  4. Step 4: Simplify right side
    846,838,017x = 3,109,117,017,984,365,056
  5. Step 5: Solve for x
    x = 3,109,117,017,984,365,056/846,838,017
  6. Step 6: Final answer
    x = 3,671,442,419.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.