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Finding the Third Proportional to 12,350,427,233 and 19,083,457,754

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Solution

The third proportional to 12,350,427,233 and 19,083,457,754 is: 29,487,106,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350,427,233 : 19,083,457,754 = 19,083,457,754 : x
  2. Step 2: Convert to fraction form
    12,350,427,233/19,083,457,754 = 19,083,457,754/x
  3. Step 3: Cross multiply
    12,350,427,233x = 19,083,457,754 × 19,083,457,754
  4. Step 4: Simplify right side
    12,350,427,233x = 364,178,359,848,702,705,664
  5. Step 5: Solve for x
    x = 364,178,359,848,702,705,664/12,350,427,233
  6. Step 6: Final answer
    x = 29,487,106,233.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.