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Finding the Third Proportional to 1,503,844,772 and 2,298,991,206

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Solution

The third proportional to 1,503,844,772 and 2,298,991,206 is: 3,514,565,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,844,772 : 2,298,991,206 = 2,298,991,206 : x
  2. Step 2: Convert to fraction form
    1,503,844,772/2,298,991,206 = 2,298,991,206/x
  3. Step 3: Cross multiply
    1,503,844,772x = 2,298,991,206 × 2,298,991,206
  4. Step 4: Simplify right side
    1,503,844,772x = 5,285,360,565,265,334,272
  5. Step 5: Solve for x
    x = 5,285,360,565,265,334,272/1,503,844,772
  6. Step 6: Final answer
    x = 3,514,565,242.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.