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Finding the Third Proportional to 2,321,903,168 and 5,051,931,154

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Solution

The third proportional to 2,321,903,168 and 5,051,931,154 is: 10,991,848,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,903,168 : 5,051,931,154 = 5,051,931,154 : x
  2. Step 2: Convert to fraction form
    2,321,903,168/5,051,931,154 = 5,051,931,154/x
  3. Step 3: Cross multiply
    2,321,903,168x = 5,051,931,154 × 5,051,931,154
  4. Step 4: Simplify right side
    2,321,903,168x = 25,522,008,384,755,773,440
  5. Step 5: Solve for x
    x = 25,522,008,384,755,773,440/2,321,903,168
  6. Step 6: Final answer
    x = 10,991,848,728.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.