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Finding the Third Proportional to 1,543,670,957,572 and 2,335,360,160,001

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Solution

The third proportional to 1,543,670,957,572 and 2,335,360,160,001 is: 3,533,076,171,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,670,957,572 : 2,335,360,160,001 = 2,335,360,160,001 : x
  2. Step 2: Convert to fraction form
    1,543,670,957,572/2,335,360,160,001 = 2,335,360,160,001/x
  3. Step 3: Cross multiply
    1,543,670,957,572x = 2,335,360,160,001 × 2,335,360,160,001
  4. Step 4: Simplify right side
    1,543,670,957,572x = 5,453,907,076,919,895,821,123,584
  5. Step 5: Solve for x
    x = 5,453,907,076,919,895,821,123,584/1,543,670,957,572
  6. Step 6: Final answer
    x = 3,533,076,171,555.50

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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.