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Finding the Third Proportional to 4,737,427,825.50 and 10,264,824,472

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Solution

The third proportional to 4,737,427,825.50 and 10,264,824,472 is: 22,241,314,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737,427,825.50 : 10,264,824,472 = 10,264,824,472 : x
  2. Step 2: Convert to fraction form
    4,737,427,825.50/10,264,824,472 = 10,264,824,472/x
  3. Step 3: Cross multiply
    4,737,427,825.50x = 10,264,824,472 × 10,264,824,472
  4. Step 4: Simplify right side
    4,737,427,825.50x = 105,366,621,440,970,080,256
  5. Step 5: Solve for x
    x = 105,366,621,440,970,080,256/4,737,427,825.50
  6. Step 6: Final answer
    x = 22,241,314,342.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.