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Finding the Third Proportional to 3,311,704,776 and 6,720,722,304

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Solution

The third proportional to 3,311,704,776 and 6,720,722,304 is: 13,638,929,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311,704,776 : 6,720,722,304 = 6,720,722,304 : x
  2. Step 2: Convert to fraction form
    3,311,704,776/6,720,722,304 = 6,720,722,304/x
  3. Step 3: Cross multiply
    3,311,704,776x = 6,720,722,304 × 6,720,722,304
  4. Step 4: Simplify right side
    3,311,704,776x = 45,168,108,287,483,068,416
  5. Step 5: Solve for x
    x = 45,168,108,287,483,068,416/3,311,704,776
  6. Step 6: Final answer
    x = 13,638,929,597.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.