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Finding the Third Proportional to 612,741,185,739 and 1,340,909,379,333

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Solution

The third proportional to 612,741,185,739 and 1,340,909,379,333 is: 2,934,416,692,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,741,185,739 : 1,340,909,379,333 = 1,340,909,379,333 : x
  2. Step 2: Convert to fraction form
    612,741,185,739/1,340,909,379,333 = 1,340,909,379,333/x
  3. Step 3: Cross multiply
    612,741,185,739x = 1,340,909,379,333 × 1,340,909,379,333
  4. Step 4: Simplify right side
    612,741,185,739x = 1,798,037,963,583,211,194,810,368
  5. Step 5: Solve for x
    x = 1,798,037,963,583,211,194,810,368/612,741,185,739
  6. Step 6: Final answer
    x = 2,934,416,692,448.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.