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Finding the Third Proportional to 463,408,319 and 699,421,915

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Solution

The third proportional to 463,408,319 and 699,421,915 is: 1,055,637,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,408,319 : 699,421,915 = 699,421,915 : x
  2. Step 2: Convert to fraction form
    463,408,319/699,421,915 = 699,421,915/x
  3. Step 3: Cross multiply
    463,408,319x = 699,421,915 × 699,421,915
  4. Step 4: Simplify right side
    463,408,319x = 489,191,015,182,267,200
  5. Step 5: Solve for x
    x = 489,191,015,182,267,200/463,408,319
  6. Step 6: Final answer
    x = 1,055,637,102.58

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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.