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Finding the Third Proportional to 1,543,670,957,578 and 2,335,360,160,010

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Solution

The third proportional to 1,543,670,957,578 and 2,335,360,160,010 is: 3,533,076,171,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,670,957,578 : 2,335,360,160,010 = 2,335,360,160,010 : x
  2. Step 2: Convert to fraction form
    1,543,670,957,578/2,335,360,160,010 = 2,335,360,160,010/x
  3. Step 3: Cross multiply
    1,543,670,957,578x = 2,335,360,160,010 × 2,335,360,160,010
  4. Step 4: Simplify right side
    1,543,670,957,578x = 5,453,907,076,961,932,813,533,184
  5. Step 5: Solve for x
    x = 5,453,907,076,961,932,813,533,184/1,543,670,957,578
  6. Step 6: Final answer
    x = 3,533,076,171,569

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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.