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Finding the Third Proportional to 511,798,281,858 and 1,125,954,429,984

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Solution

The third proportional to 511,798,281,858 and 1,125,954,429,984 is: 2,477,095,807,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798,281,858 : 1,125,954,429,984 = 1,125,954,429,984 : x
  2. Step 2: Convert to fraction form
    511,798,281,858/1,125,954,429,984 = 1,125,954,429,984/x
  3. Step 3: Cross multiply
    511,798,281,858x = 1,125,954,429,984 × 1,125,954,429,984
  4. Step 4: Simplify right side
    511,798,281,858x = 1,267,773,378,400,594,285,297,664
  5. Step 5: Solve for x
    x = 1,267,773,378,400,594,285,297,664/511,798,281,858
  6. Step 6: Final answer
    x = 2,477,095,807,743.14

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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.