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Finding the Third Proportional to 1,414,692,940.50 and 3,044,376,729

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Solution

The third proportional to 1,414,692,940.50 and 3,044,376,729 is: 6,551,407,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,692,940.50 : 3,044,376,729 = 3,044,376,729 : x
  2. Step 2: Convert to fraction form
    1,414,692,940.50/3,044,376,729 = 3,044,376,729/x
  3. Step 3: Cross multiply
    1,414,692,940.50x = 3,044,376,729 × 3,044,376,729
  4. Step 4: Simplify right side
    1,414,692,940.50x = 9,268,229,668,076,738,560
  5. Step 5: Solve for x
    x = 9,268,229,668,076,738,560/1,414,692,940.50
  6. Step 6: Final answer
    x = 6,551,407,307.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.