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Finding the Third Proportional to 1,274,928,774 and 1,875,935,745

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Solution

The third proportional to 1,274,928,774 and 1,875,935,745 is: 2,760,260,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,928,774 : 1,875,935,745 = 1,875,935,745 : x
  2. Step 2: Convert to fraction form
    1,274,928,774/1,875,935,745 = 1,875,935,745/x
  3. Step 3: Cross multiply
    1,274,928,774x = 1,875,935,745 × 1,875,935,745
  4. Step 4: Simplify right side
    1,274,928,774x = 3,519,134,919,368,705,024
  5. Step 5: Solve for x
    x = 3,519,134,919,368,705,024/1,274,928,774
  6. Step 6: Final answer
    x = 2,760,260,016.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.