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Finding the Third Proportional to 1,378,178,541 and 2,118,360,073.50

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Solution

The third proportional to 1,378,178,541 and 2,118,360,073.50 is: 3,256,072,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,178,541 : 2,118,360,073.50 = 2,118,360,073.50 : x
  2. Step 2: Convert to fraction form
    1,378,178,541/2,118,360,073.50 = 2,118,360,073.50/x
  3. Step 3: Cross multiply
    1,378,178,541x = 2,118,360,073.50 × 2,118,360,073.50
  4. Step 4: Simplify right side
    1,378,178,541x = 4,487,449,400,998,925,312
  5. Step 5: Solve for x
    x = 4,487,449,400,998,925,312/1,378,178,541
  6. Step 6: Final answer
    x = 3,256,072,611.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.