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Finding the Third Proportional to 580,202,662 and 1,252,288,362

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Solution

The third proportional to 580,202,662 and 1,252,288,362 is: 2,702,893,737.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,202,662 : 1,252,288,362 = 1,252,288,362 : x
  2. Step 2: Convert to fraction form
    580,202,662/1,252,288,362 = 1,252,288,362/x
  3. Step 3: Cross multiply
    580,202,662x = 1,252,288,362 × 1,252,288,362
  4. Step 4: Simplify right side
    580,202,662x = 1,568,226,141,600,643,072
  5. Step 5: Solve for x
    x = 1,568,226,141,600,643,072/580,202,662
  6. Step 6: Final answer
    x = 2,702,893,737.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.