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Finding the Third Proportional to 74,741,724 and 160,657,560

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Solution

The third proportional to 74,741,724 and 160,657,560 is: 345,333,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,741,724 : 160,657,560 = 160,657,560 : x
  2. Step 2: Convert to fraction form
    74,741,724/160,657,560 = 160,657,560/x
  3. Step 3: Cross multiply
    74,741,724x = 160,657,560 × 160,657,560
  4. Step 4: Simplify right side
    74,741,724x = 25,810,851,585,153,600
  5. Step 5: Solve for x
    x = 25,810,851,585,153,600/74,741,724
  6. Step 6: Final answer
    x = 345,333,907.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.