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Finding the Third Proportional to 673,086,263 and 1,033,942,911

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Solution

The third proportional to 673,086,263 and 1,033,942,911 is: 1,588,262,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,086,263 : 1,033,942,911 = 1,033,942,911 : x
  2. Step 2: Convert to fraction form
    673,086,263/1,033,942,911 = 1,033,942,911/x
  3. Step 3: Cross multiply
    673,086,263x = 1,033,942,911 × 1,033,942,911
  4. Step 4: Simplify right side
    673,086,263x = 1,069,037,943,207,153,920
  5. Step 5: Solve for x
    x = 1,069,037,943,207,153,920/673,086,263
  6. Step 6: Final answer
    x = 1,588,262,904.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.