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Finding the Third Proportional to 2,134,605,775,800.90 and 3,251,924,245,307.50

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Solution

The third proportional to 2,134,605,775,800.90 and 3,251,924,245,307.50 is: 4,954,081,646,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,605,775,800.90 : 3,251,924,245,307.50 = 3,251,924,245,307.50 : x
  2. Step 2: Convert to fraction form
    2,134,605,775,800.90/3,251,924,245,307.50 = 3,251,924,245,307.50/x
  3. Step 3: Cross multiply
    2,134,605,775,800.90x = 3,251,924,245,307.50 × 3,251,924,245,307.50
  4. Step 4: Simplify right side
    2,134,605,775,800.90x = 10,575,011,297,218,752,633,896,960
  5. Step 5: Solve for x
    x = 10,575,011,297,218,752,633,896,960/2,134,605,775,800.90
  6. Step 6: Final answer
    x = 4,954,081,646,879.75

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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.