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Finding the Third Proportional to 1,202,831,538 and 1,913,961,321

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Solution

The third proportional to 1,202,831,538 and 1,913,961,321 is: 3,045,520,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,831,538 : 1,913,961,321 = 1,913,961,321 : x
  2. Step 2: Convert to fraction form
    1,202,831,538/1,913,961,321 = 1,913,961,321/x
  3. Step 3: Cross multiply
    1,202,831,538x = 1,913,961,321 × 1,913,961,321
  4. Step 4: Simplify right side
    1,202,831,538x = 3,663,247,938,284,065,280
  5. Step 5: Solve for x
    x = 3,663,247,938,284,065,280/1,202,831,538
  6. Step 6: Final answer
    x = 3,045,520,359.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.