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Finding the Third Proportional to 8,061,806,559 and 17,673,295,075

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Solution

The third proportional to 8,061,806,559 and 17,673,295,075 is: 38,743,841,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,061,806,559 : 17,673,295,075 = 17,673,295,075 : x
  2. Step 2: Convert to fraction form
    8,061,806,559/17,673,295,075 = 17,673,295,075/x
  3. Step 3: Cross multiply
    8,061,806,559x = 17,673,295,075 × 17,673,295,075
  4. Step 4: Simplify right side
    8,061,806,559x = 312,345,358,808,019,238,912
  5. Step 5: Solve for x
    x = 312,345,358,808,019,238,912/8,061,806,559
  6. Step 6: Final answer
    x = 38,743,841,907.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.