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Finding the Third Proportional to 2,014,898,967 and 4,359,837,559.50

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Solution

The third proportional to 2,014,898,967 and 4,359,837,559.50 is: 9,433,814,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,898,967 : 4,359,837,559.50 = 4,359,837,559.50 : x
  2. Step 2: Convert to fraction form
    2,014,898,967/4,359,837,559.50 = 4,359,837,559.50/x
  3. Step 3: Cross multiply
    2,014,898,967x = 4,359,837,559.50 × 4,359,837,559.50
  4. Step 4: Simplify right side
    2,014,898,967x = 19,008,183,545,226,915,840
  5. Step 5: Solve for x
    x = 19,008,183,545,226,915,840/2,014,898,967
  6. Step 6: Final answer
    x = 9,433,814,725.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.