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Finding the Third Proportional to 744,831,082 and 1,618,586,300

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Solution

The third proportional to 744,831,082 and 1,618,586,300 is: 3,517,336,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,831,082 : 1,618,586,300 = 1,618,586,300 : x
  2. Step 2: Convert to fraction form
    744,831,082/1,618,586,300 = 1,618,586,300/x
  3. Step 3: Cross multiply
    744,831,082x = 1,618,586,300 × 1,618,586,300
  4. Step 4: Simplify right side
    744,831,082x = 2,619,821,610,547,689,984
  5. Step 5: Solve for x
    x = 2,619,821,610,547,689,984/744,831,082
  6. Step 6: Final answer
    x = 3,517,336,579.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.