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Finding the Third Proportional to 2,467,012,712 and 5,386,099,946

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Solution

The third proportional to 2,467,012,712 and 5,386,099,946 is: 11,759,190,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,012,712 : 5,386,099,946 = 5,386,099,946 : x
  2. Step 2: Convert to fraction form
    2,467,012,712/5,386,099,946 = 5,386,099,946/x
  3. Step 3: Cross multiply
    2,467,012,712x = 5,386,099,946 × 5,386,099,946
  4. Step 4: Simplify right side
    2,467,012,712x = 29,010,072,628,301,201,408
  5. Step 5: Solve for x
    x = 29,010,072,628,301,201,408/2,467,012,712
  6. Step 6: Final answer
    x = 11,759,190,573.76

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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.