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Finding the Third Proportional to 673,424,172 and 1,447,100,352

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Solution

The third proportional to 673,424,172 and 1,447,100,352 is: 3,109,629,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,424,172 : 1,447,100,352 = 1,447,100,352 : x
  2. Step 2: Convert to fraction form
    673,424,172/1,447,100,352 = 1,447,100,352/x
  3. Step 3: Cross multiply
    673,424,172x = 1,447,100,352 × 1,447,100,352
  4. Step 4: Simplify right side
    673,424,172x = 2,094,099,428,758,523,904
  5. Step 5: Solve for x
    x = 2,094,099,428,758,523,904/673,424,172
  6. Step 6: Final answer
    x = 3,109,629,139.89

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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.