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Finding the Third Proportional to 202,328,422 and 477,464,901

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Solution

The third proportional to 202,328,422 and 477,464,901 is: 1,126,745,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328,422 : 477,464,901 = 477,464,901 : x
  2. Step 2: Convert to fraction form
    202,328,422/477,464,901 = 477,464,901/x
  3. Step 3: Cross multiply
    202,328,422x = 477,464,901 × 477,464,901
  4. Step 4: Simplify right side
    202,328,422x = 227,972,731,686,939,808
  5. Step 5: Solve for x
    x = 227,972,731,686,939,808/202,328,422
  6. Step 6: Final answer
    x = 1,126,745,958.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.