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Finding the Third Proportional to 2,590,905,906 and 5,641,839,972

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Solution

The third proportional to 2,590,905,906 and 5,641,839,972 is: 12,285,416,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590,905,906 : 5,641,839,972 = 5,641,839,972 : x
  2. Step 2: Convert to fraction form
    2,590,905,906/5,641,839,972 = 5,641,839,972/x
  3. Step 3: Cross multiply
    2,590,905,906x = 5,641,839,972 × 5,641,839,972
  4. Step 4: Simplify right side
    2,590,905,906x = 31,830,358,269,656,961,024
  5. Step 5: Solve for x
    x = 31,830,358,269,656,961,024/2,590,905,906
  6. Step 6: Final answer
    x = 12,285,416,539.42

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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.