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Finding the Third Proportional to 628,391,848 and 1,333,381,852

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Solution

The third proportional to 628,391,848 and 1,333,381,852 is: 2,829,296,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,391,848 : 1,333,381,852 = 1,333,381,852 : x
  2. Step 2: Convert to fraction form
    628,391,848/1,333,381,852 = 1,333,381,852/x
  3. Step 3: Cross multiply
    628,391,848x = 1,333,381,852 × 1,333,381,852
  4. Step 4: Simplify right side
    628,391,848x = 1,777,907,163,242,949,888
  5. Step 5: Solve for x
    x = 1,777,907,163,242,949,888/628,391,848
  6. Step 6: Final answer
    x = 2,829,296,988.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.