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Finding the Third Proportional to 2,000,184,792 and 4,307,580,416

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Solution

The third proportional to 2,000,184,792 and 4,307,580,416 is: 9,276,767,383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,184,792 : 4,307,580,416 = 4,307,580,416 : x
  2. Step 2: Convert to fraction form
    2,000,184,792/4,307,580,416 = 4,307,580,416/x
  3. Step 3: Cross multiply
    2,000,184,792x = 4,307,580,416 × 4,307,580,416
  4. Step 4: Simplify right side
    2,000,184,792x = 18,555,249,040,306,733,056
  5. Step 5: Solve for x
    x = 18,555,249,040,306,733,056/2,000,184,792
  6. Step 6: Final answer
    x = 9,276,767,383.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.