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Finding the Third Proportional to 1,503,844,768 and 2,298,991,200

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Solution

The third proportional to 1,503,844,768 and 2,298,991,200 is: 3,514,565,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,844,768 : 2,298,991,200 = 2,298,991,200 : x
  2. Step 2: Convert to fraction form
    1,503,844,768/2,298,991,200 = 2,298,991,200/x
  3. Step 3: Cross multiply
    1,503,844,768x = 2,298,991,200 × 2,298,991,200
  4. Step 4: Simplify right side
    1,503,844,768x = 5,285,360,537,677,440,000
  5. Step 5: Solve for x
    x = 5,285,360,537,677,440,000/1,503,844,768
  6. Step 6: Final answer
    x = 3,514,565,233.16

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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.