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Finding the Third Proportional to 1,100,306,842 and 1,646,098,012

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Solution

The third proportional to 1,100,306,842 and 1,646,098,012 is: 2,462,620,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,306,842 : 1,646,098,012 = 1,646,098,012 : x
  2. Step 2: Convert to fraction form
    1,100,306,842/1,646,098,012 = 1,646,098,012/x
  3. Step 3: Cross multiply
    1,100,306,842x = 1,646,098,012 × 1,646,098,012
  4. Step 4: Simplify right side
    1,100,306,842x = 2,709,638,665,110,352,384
  5. Step 5: Solve for x
    x = 2,709,638,665,110,352,384/1,100,306,842
  6. Step 6: Final answer
    x = 2,462,620,935.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.