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Finding the Third Proportional to 359,992,540,265.62 and 520,127,054,254.12

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Solution

The third proportional to 359,992,540,265.62 and 520,127,054,254.12 is: 751,493,773,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,992,540,265.62 : 520,127,054,254.12 = 520,127,054,254.12 : x
  2. Step 2: Convert to fraction form
    359,992,540,265.62/520,127,054,254.12 = 520,127,054,254.12/x
  3. Step 3: Cross multiply
    359,992,540,265.62x = 520,127,054,254.12 × 520,127,054,254.12
  4. Step 4: Simplify right side
    359,992,540,265.62x = 270,532,152,567,068,283,109,376
  5. Step 5: Solve for x
    x = 270,532,152,567,068,283,109,376/359,992,540,265.62
  6. Step 6: Final answer
    x = 751,493,773,641.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.