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Finding the Third Proportional to 1,331,111,447 and 2,077,250,192

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Solution

The third proportional to 1,331,111,447 and 2,077,250,192 is: 3,241,628,167.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331,111,447 : 2,077,250,192 = 2,077,250,192 : x
  2. Step 2: Convert to fraction form
    1,331,111,447/2,077,250,192 = 2,077,250,192/x
  3. Step 3: Cross multiply
    1,331,111,447x = 2,077,250,192 × 2,077,250,192
  4. Step 4: Simplify right side
    1,331,111,447x = 4,314,968,360,164,036,608
  5. Step 5: Solve for x
    x = 4,314,968,360,164,036,608/1,331,111,447
  6. Step 6: Final answer
    x = 3,241,628,167.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.