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Finding the Third Proportional to 7,933,713,888 and 17,295,943,200

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Solution

The third proportional to 7,933,713,888 and 17,295,943,200 is: 37,706,130,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933,713,888 : 17,295,943,200 = 17,295,943,200 : x
  2. Step 2: Convert to fraction form
    7,933,713,888/17,295,943,200 = 17,295,943,200/x
  3. Step 3: Cross multiply
    7,933,713,888x = 17,295,943,200 × 17,295,943,200
  4. Step 4: Simplify right side
    7,933,713,888x = 299,149,651,177,626,271,744
  5. Step 5: Solve for x
    x = 299,149,651,177,626,271,744/7,933,713,888
  6. Step 6: Final answer
    x = 37,706,130,495.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.