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Finding the Third Proportional to 1,281,680,724 and 2,631,307,152

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Solution

The third proportional to 1,281,680,724 and 2,631,307,152 is: 5,402,107,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,680,724 : 2,631,307,152 = 2,631,307,152 : x
  2. Step 2: Convert to fraction form
    1,281,680,724/2,631,307,152 = 2,631,307,152/x
  3. Step 3: Cross multiply
    1,281,680,724x = 2,631,307,152 × 2,631,307,152
  4. Step 4: Simplify right side
    1,281,680,724x = 6,923,777,328,166,350,848
  5. Step 5: Solve for x
    x = 6,923,777,328,166,350,848/1,281,680,724
  6. Step 6: Final answer
    x = 5,402,107,715.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.