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Finding the Third Proportional to 1,577,595,759 and 3,374,026,936.50

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Solution

The third proportional to 1,577,595,759 and 3,374,026,936.50 is: 7,216,080,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577,595,759 : 3,374,026,936.50 = 3,374,026,936.50 : x
  2. Step 2: Convert to fraction form
    1,577,595,759/3,374,026,936.50 = 3,374,026,936.50/x
  3. Step 3: Cross multiply
    1,577,595,759x = 3,374,026,936.50 × 3,374,026,936.50
  4. Step 4: Simplify right side
    1,577,595,759x = 11,384,057,768,227,575,808
  5. Step 5: Solve for x
    x = 11,384,057,768,227,575,808/1,577,595,759
  6. Step 6: Final answer
    x = 7,216,080,357.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.