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Finding the Third Proportional to 612,174,873.87 and 1,250,044,674.05

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Solution

The third proportional to 612,174,873.87 and 1,250,044,674.05 is: 2,552,557,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,174,873.87 : 1,250,044,674.05 = 1,250,044,674.05 : x
  2. Step 2: Convert to fraction form
    612,174,873.87/1,250,044,674.05 = 1,250,044,674.05/x
  3. Step 3: Cross multiply
    612,174,873.87x = 1,250,044,674.05 × 1,250,044,674.05
  4. Step 4: Simplify right side
    612,174,873.87x = 1,562,611,687,113,020,672
  5. Step 5: Solve for x
    x = 1,562,611,687,113,020,672/612,174,873.87
  6. Step 6: Final answer
    x = 2,552,557,698.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.