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Finding the Third Proportional to 1,378,178,532 and 2,118,360,060

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Solution

The third proportional to 1,378,178,532 and 2,118,360,060 is: 3,256,072,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,178,532 : 2,118,360,060 = 2,118,360,060 : x
  2. Step 2: Convert to fraction form
    1,378,178,532/2,118,360,060 = 2,118,360,060/x
  3. Step 3: Cross multiply
    1,378,178,532x = 2,118,360,060 × 2,118,360,060
  4. Step 4: Simplify right side
    1,378,178,532x = 4,487,449,343,803,203,584
  5. Step 5: Solve for x
    x = 4,487,449,343,803,203,584/1,378,178,532
  6. Step 6: Final answer
    x = 3,256,072,591.18

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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.