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Finding the Third Proportional to 1,554,208,102.50 and 3,380,729,893.50

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Solution

The third proportional to 1,554,208,102.50 and 3,380,729,893.50 is: 7,353,799,400.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554,208,102.50 : 3,380,729,893.50 = 3,380,729,893.50 : x
  2. Step 2: Convert to fraction form
    1,554,208,102.50/3,380,729,893.50 = 3,380,729,893.50/x
  3. Step 3: Cross multiply
    1,554,208,102.50x = 3,380,729,893.50 × 3,380,729,893.50
  4. Step 4: Simplify right side
    1,554,208,102.50x = 11,429,334,612,804,521,984
  5. Step 5: Solve for x
    x = 11,429,334,612,804,521,984/1,554,208,102.50
  6. Step 6: Final answer
    x = 7,353,799,400.75

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