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Finding the Third Proportional to 433,955,034 and 654,968,097

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Solution

The third proportional to 433,955,034 and 654,968,097 is: 988,542,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955,034 : 654,968,097 = 654,968,097 : x
  2. Step 2: Convert to fraction form
    433,955,034/654,968,097 = 654,968,097/x
  3. Step 3: Cross multiply
    433,955,034x = 654,968,097 × 654,968,097
  4. Step 4: Simplify right side
    433,955,034x = 428,983,208,087,801,408
  5. Step 5: Solve for x
    x = 428,983,208,087,801,408/433,955,034
  6. Step 6: Final answer
    x = 988,542,992.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.