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Finding the Third Proportional to 2,134,605,775,594.90 and 3,251,924,244,976.20

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Solution

The third proportional to 2,134,605,775,594.90 and 3,251,924,244,976.20 is: 4,954,081,646,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,605,775,594.90 : 3,251,924,244,976.20 = 3,251,924,244,976.20 : x
  2. Step 2: Convert to fraction form
    2,134,605,775,594.90/3,251,924,244,976.20 = 3,251,924,244,976.20/x
  3. Step 3: Cross multiply
    2,134,605,775,594.90x = 3,251,924,244,976.20 × 3,251,924,244,976.20
  4. Step 4: Simplify right side
    2,134,605,775,594.90x = 10,575,011,295,064,029,818,519,552
  5. Step 5: Solve for x
    x = 10,575,011,295,064,029,818,519,552/2,134,605,775,594.90
  6. Step 6: Final answer
    x = 4,954,081,646,348.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.