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Finding the Third Proportional to 782,739,618 and 1,677,526,047.75

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Solution

The third proportional to 782,739,618 and 1,677,526,047.75 is: 3,595,184,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,739,618 : 1,677,526,047.75 = 1,677,526,047.75 : x
  2. Step 2: Convert to fraction form
    782,739,618/1,677,526,047.75 = 1,677,526,047.75/x
  3. Step 3: Cross multiply
    782,739,618x = 1,677,526,047.75 × 1,677,526,047.75
  4. Step 4: Simplify right side
    782,739,618x = 2,814,093,640,879,735,296
  5. Step 5: Solve for x
    x = 2,814,093,640,879,735,296/782,739,618
  6. Step 6: Final answer
    x = 3,595,184,881.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.