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Finding the Third Proportional to 418,274,731.75 and 632,791,669.50

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Solution

The third proportional to 418,274,731.75 and 632,791,669.50 is: 957,326,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,274,731.75 : 632,791,669.50 = 632,791,669.50 : x
  2. Step 2: Convert to fraction form
    418,274,731.75/632,791,669.50 = 632,791,669.50/x
  3. Step 3: Cross multiply
    418,274,731.75x = 632,791,669.50 × 632,791,669.50
  4. Step 4: Simplify right side
    418,274,731.75x = 400,425,296,988,597,248
  5. Step 5: Solve for x
    x = 400,425,296,988,597,248/418,274,731.75
  6. Step 6: Final answer
    x = 957,326,050.54

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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.