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Finding the Third Proportional to 777,541,964.06 and 1,713,571,740.56

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Solution

The third proportional to 777,541,964.06 and 1,713,571,740.56 is: 3,776,423,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,541,964.06 : 1,713,571,740.56 = 1,713,571,740.56 : x
  2. Step 2: Convert to fraction form
    777,541,964.06/1,713,571,740.56 = 1,713,571,740.56/x
  3. Step 3: Cross multiply
    777,541,964.06x = 1,713,571,740.56 × 1,713,571,740.56
  4. Step 4: Simplify right side
    777,541,964.06x = 2,936,328,110,054,395,904
  5. Step 5: Solve for x
    x = 2,936,328,110,054,395,904/777,541,964.06
  6. Step 6: Final answer
    x = 3,776,423,969.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.