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Finding the Third Proportional to 1,688,391,981 and 3,667,431,072

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Solution

The third proportional to 1,688,391,981 and 3,667,431,072 is: 7,966,189,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,391,981 : 3,667,431,072 = 3,667,431,072 : x
  2. Step 2: Convert to fraction form
    1,688,391,981/3,667,431,072 = 3,667,431,072/x
  3. Step 3: Cross multiply
    1,688,391,981x = 3,667,431,072 × 3,667,431,072
  4. Step 4: Simplify right side
    1,688,391,981x = 13,450,050,667,871,068,160
  5. Step 5: Solve for x
    x = 13,450,050,667,871,068,160/1,688,391,981
  6. Step 6: Final answer
    x = 7,966,189,616.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.