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Finding the Third Proportional to 1,233,150,168 and 1,781,689,031

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Solution

The third proportional to 1,233,150,168 and 1,781,689,031 is: 2,574,232,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,150,168 : 1,781,689,031 = 1,781,689,031 : x
  2. Step 2: Convert to fraction form
    1,233,150,168/1,781,689,031 = 1,781,689,031/x
  3. Step 3: Cross multiply
    1,233,150,168x = 1,781,689,031 × 1,781,689,031
  4. Step 4: Simplify right side
    1,233,150,168x = 3,174,415,803,185,718,784
  5. Step 5: Solve for x
    x = 3,174,415,803,185,718,784/1,233,150,168
  6. Step 6: Final answer
    x = 2,574,232,956.83

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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.