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Finding the Third Proportional to 1,543,670,957,574 and 2,335,360,160,006

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Solution

The third proportional to 1,543,670,957,574 and 2,335,360,160,006 is: 3,533,076,171,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543,670,957,574 : 2,335,360,160,006 = 2,335,360,160,006 : x
  2. Step 2: Convert to fraction form
    1,543,670,957,574/2,335,360,160,006 = 2,335,360,160,006/x
  3. Step 3: Cross multiply
    1,543,670,957,574x = 2,335,360,160,006 × 2,335,360,160,006
  4. Step 4: Simplify right side
    1,543,670,957,574x = 5,453,907,076,943,249,705,795,584
  5. Step 5: Solve for x
    x = 5,453,907,076,943,249,705,795,584/1,543,670,957,574
  6. Step 6: Final answer
    x = 3,533,076,171,566.05

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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.