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Finding the Third Proportional to 1,543,670,957,562 and 2,335,360,159,988

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Solution

The third proportional to 1,543,670,957,562 and 2,335,360,159,988 is: 3,533,076,171,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,670,957,562 : 2,335,360,159,988 = 2,335,360,159,988 : x
  2. Step 2: Convert to fraction form
    1,543,670,957,562/2,335,360,159,988 = 2,335,360,159,988/x
  3. Step 3: Cross multiply
    1,543,670,957,562x = 2,335,360,159,988 × 2,335,360,159,988
  4. Step 4: Simplify right side
    1,543,670,957,562x = 5,453,907,076,859,176,794,718,208
  5. Step 5: Solve for x
    x = 5,453,907,076,859,176,794,718,208/1,543,670,957,562
  6. Step 6: Final answer
    x = 3,533,076,171,539.05

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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.