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Finding the Third Proportional to 1,178,516,917.50 and 1,638,633,573

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Solution

The third proportional to 1,178,516,917.50 and 1,638,633,573 is: 2,278,389,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,516,917.50 : 1,638,633,573 = 1,638,633,573 : x
  2. Step 2: Convert to fraction form
    1,178,516,917.50/1,638,633,573 = 1,638,633,573/x
  3. Step 3: Cross multiply
    1,178,516,917.50x = 1,638,633,573 × 1,638,633,573
  4. Step 4: Simplify right side
    1,178,516,917.50x = 2,685,119,986,562,746,368
  5. Step 5: Solve for x
    x = 2,685,119,986,562,746,368/1,178,516,917.50
  6. Step 6: Final answer
    x = 2,278,389,004.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.