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Finding the Third Proportional to 1,080,404,185 and 2,500,979,970.50

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Solution

The third proportional to 1,080,404,185 and 2,500,979,970.50 is: 5,789,408,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,404,185 : 2,500,979,970.50 = 2,500,979,970.50 : x
  2. Step 2: Convert to fraction form
    1,080,404,185/2,500,979,970.50 = 2,500,979,970.50/x
  3. Step 3: Cross multiply
    1,080,404,185x = 2,500,979,970.50 × 2,500,979,970.50
  4. Step 4: Simplify right side
    1,080,404,185x = 6,254,900,812,842,180,608
  5. Step 5: Solve for x
    x = 6,254,900,812,842,180,608/1,080,404,185
  6. Step 6: Final answer
    x = 5,789,408,167.50

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.