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Finding the Third Proportional to 1,112,509,416 and 2,418,530,064

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Solution

The third proportional to 1,112,509,416 and 2,418,530,064 is: 5,257,742,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112,509,416 : 2,418,530,064 = 2,418,530,064 : x
  2. Step 2: Convert to fraction form
    1,112,509,416/2,418,530,064 = 2,418,530,064/x
  3. Step 3: Cross multiply
    1,112,509,416x = 2,418,530,064 × 2,418,530,064
  4. Step 4: Simplify right side
    1,112,509,416x = 5,849,287,670,471,843,840
  5. Step 5: Solve for x
    x = 5,849,287,670,471,843,840/1,112,509,416
  6. Step 6: Final answer
    x = 5,257,742,169.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.