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Finding the Third Proportional to 1,543,670,957,576 and 2,335,360,160,007

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Solution

The third proportional to 1,543,670,957,576 and 2,335,360,160,007 is: 3,533,076,171,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,670,957,576 : 2,335,360,160,007 = 2,335,360,160,007 : x
  2. Step 2: Convert to fraction form
    1,543,670,957,576/2,335,360,160,007 = 2,335,360,160,007/x
  3. Step 3: Cross multiply
    1,543,670,957,576x = 2,335,360,160,007 × 2,335,360,160,007
  4. Step 4: Simplify right side
    1,543,670,957,576x = 5,453,907,076,947,920,482,729,984
  5. Step 5: Solve for x
    x = 5,453,907,076,947,920,482,729,984/1,543,670,957,576
  6. Step 6: Final answer
    x = 3,533,076,171,564.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.