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Finding the Third Proportional to 180,976,168,080 and 380,706,928,416

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Solution

The third proportional to 180,976,168,080 and 380,706,928,416 is: 800,866,583,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,976,168,080 : 380,706,928,416 = 380,706,928,416 : x
  2. Step 2: Convert to fraction form
    180,976,168,080/380,706,928,416 = 380,706,928,416/x
  3. Step 3: Cross multiply
    180,976,168,080x = 380,706,928,416 × 380,706,928,416
  4. Step 4: Simplify right side
    180,976,168,080x = 144,937,765,343,945,339,961,344
  5. Step 5: Solve for x
    x = 144,937,765,343,945,339,961,344/180,976,168,080
  6. Step 6: Final answer
    x = 800,866,583,051.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.