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Finding the Third Proportional to 2,831,901,165 and 4,442,417,298

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Solution

The third proportional to 2,831,901,165 and 4,442,417,298 is: 6,968,841,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,901,165 : 4,442,417,298 = 4,442,417,298 : x
  2. Step 2: Convert to fraction form
    2,831,901,165/4,442,417,298 = 4,442,417,298/x
  3. Step 3: Cross multiply
    2,831,901,165x = 4,442,417,298 × 4,442,417,298
  4. Step 4: Simplify right side
    2,831,901,165x = 19,735,071,449,569,619,968
  5. Step 5: Solve for x
    x = 19,735,071,449,569,619,968/2,831,901,165
  6. Step 6: Final answer
    x = 6,968,841,883.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.