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Finding the Third Proportional to 1,183,210,128 and 1,846,444,512

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Solution

The third proportional to 1,183,210,128 and 1,846,444,512 is: 2,881,447,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,210,128 : 1,846,444,512 = 1,846,444,512 : x
  2. Step 2: Convert to fraction form
    1,183,210,128/1,846,444,512 = 1,846,444,512/x
  3. Step 3: Cross multiply
    1,183,210,128x = 1,846,444,512 × 1,846,444,512
  4. Step 4: Simplify right side
    1,183,210,128x = 3,409,357,335,894,918,144
  5. Step 5: Solve for x
    x = 3,409,357,335,894,918,144/1,183,210,128
  6. Step 6: Final answer
    x = 2,881,447,052.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.