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Finding the Third Proportional to 1,560,705,303 and 2,254,949,644.50

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Solution

The third proportional to 1,560,705,303 and 2,254,949,644.50 is: 3,258,012,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,705,303 : 2,254,949,644.50 = 2,254,949,644.50 : x
  2. Step 2: Convert to fraction form
    1,560,705,303/2,254,949,644.50 = 2,254,949,644.50/x
  3. Step 3: Cross multiply
    1,560,705,303x = 2,254,949,644.50 × 2,254,949,644.50
  4. Step 4: Simplify right side
    1,560,705,303x = 5,084,797,899,230,675,968
  5. Step 5: Solve for x
    x = 5,084,797,899,230,675,968/1,560,705,303
  6. Step 6: Final answer
    x = 3,258,012,828.85

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.