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Finding the Third Proportional to 1,072,345,852 and 2,314,064,648

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Solution

The third proportional to 1,072,345,852 and 2,314,064,648 is: 4,993,626,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,345,852 : 2,314,064,648 = 2,314,064,648 : x
  2. Step 2: Convert to fraction form
    1,072,345,852/2,314,064,648 = 2,314,064,648/x
  3. Step 3: Cross multiply
    1,072,345,852x = 2,314,064,648 × 2,314,064,648
  4. Step 4: Simplify right side
    1,072,345,852x = 5,354,895,195,123,363,840
  5. Step 5: Solve for x
    x = 5,354,895,195,123,363,840/1,072,345,852
  6. Step 6: Final answer
    x = 4,993,626,995.56

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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.