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Finding the Third Proportional to 1,187,551,119 and 2,456,563,614

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Solution

The third proportional to 1,187,551,119 and 2,456,563,614 is: 5,081,637,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,551,119 : 2,456,563,614 = 2,456,563,614 : x
  2. Step 2: Convert to fraction form
    1,187,551,119/2,456,563,614 = 2,456,563,614/x
  3. Step 3: Cross multiply
    1,187,551,119x = 2,456,563,614 × 2,456,563,614
  4. Step 4: Simplify right side
    1,187,551,119x = 6,034,704,789,628,740,608
  5. Step 5: Solve for x
    x = 6,034,704,789,628,740,608/1,187,551,119
  6. Step 6: Final answer
    x = 5,081,637,912.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.