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Finding the Third Proportional to 433,955,055 and 654,968,119.50

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Solution

The third proportional to 433,955,055 and 654,968,119.50 is: 988,543,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,955,055 : 654,968,119.50 = 654,968,119.50 : x
  2. Step 2: Convert to fraction form
    433,955,055/654,968,119.50 = 654,968,119.50/x
  3. Step 3: Cross multiply
    433,955,055x = 654,968,119.50 × 654,968,119.50
  4. Step 4: Simplify right side
    433,955,055x = 428,983,237,561,366,272
  5. Step 5: Solve for x
    x = 428,983,237,561,366,272/433,955,055
  6. Step 6: Final answer
    x = 988,543,012.97

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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.