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Finding the Third Proportional to 135,053,886,008 and 287,574,938,608

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Solution

The third proportional to 135,053,886,008 and 287,574,938,608 is: 612,343,322,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,053,886,008 : 287,574,938,608 = 287,574,938,608 : x
  2. Step 2: Convert to fraction form
    135,053,886,008/287,574,938,608 = 287,574,938,608/x
  3. Step 3: Cross multiply
    135,053,886,008x = 287,574,938,608 × 287,574,938,608
  4. Step 4: Simplify right side
    135,053,886,008x = 82,699,345,315,394,970,714,112
  5. Step 5: Solve for x
    x = 82,699,345,315,394,970,714,112/135,053,886,008
  6. Step 6: Final answer
    x = 612,343,322,801.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.