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Finding the Third Proportional to 7,955,748,437 and 17,323,967,416

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Solution

The third proportional to 7,955,748,437 and 17,323,967,416 is: 37,723,647,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955,748,437 : 17,323,967,416 = 17,323,967,416 : x
  2. Step 2: Convert to fraction form
    7,955,748,437/17,323,967,416 = 17,323,967,416/x
  3. Step 3: Cross multiply
    7,955,748,437x = 17,323,967,416 × 17,323,967,416
  4. Step 4: Simplify right side
    7,955,748,437x = 300,119,847,030,629,728,256
  5. Step 5: Solve for x
    x = 300,119,847,030,629,728,256/7,955,748,437
  6. Step 6: Final answer
    x = 37,723,647,172.51

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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.