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Finding the Third Proportional to 25,047,667,728 and 53,680,833,432

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Solution

The third proportional to 25,047,667,728 and 53,680,833,432 is: 115,045,916,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047,667,728 : 53,680,833,432 = 53,680,833,432 : x
  2. Step 2: Convert to fraction form
    25,047,667,728/53,680,833,432 = 53,680,833,432/x
  3. Step 3: Cross multiply
    25,047,667,728x = 53,680,833,432 × 53,680,833,432
  4. Step 4: Simplify right side
    25,047,667,728x = 2,881,631,877,954,129,100,800
  5. Step 5: Solve for x
    x = 2,881,631,877,954,129,100,800/25,047,667,728
  6. Step 6: Final answer
    x = 115,045,916,020.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.