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Finding the Third Proportional to 1,523,257,986 and 3,316,939,102.50

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Solution

The third proportional to 1,523,257,986 and 3,316,939,102.50 is: 7,222,732,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,257,986 : 3,316,939,102.50 = 3,316,939,102.50 : x
  2. Step 2: Convert to fraction form
    1,523,257,986/3,316,939,102.50 = 3,316,939,102.50/x
  3. Step 3: Cross multiply
    1,523,257,986x = 3,316,939,102.50 × 3,316,939,102.50
  4. Step 4: Simplify right side
    1,523,257,986x = 11,002,085,009,693,505,536
  5. Step 5: Solve for x
    x = 11,002,085,009,693,505,536/1,523,257,986
  6. Step 6: Final answer
    x = 7,222,732,531.73

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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.