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Finding the Third Proportional to 12,734,264,472 and 27,403,446,576

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Solution

The third proportional to 12,734,264,472 and 27,403,446,576 is: 58,970,730,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734,264,472 : 27,403,446,576 = 27,403,446,576 : x
  2. Step 2: Convert to fraction form
    12,734,264,472/27,403,446,576 = 27,403,446,576/x
  3. Step 3: Cross multiply
    12,734,264,472x = 27,403,446,576 × 27,403,446,576
  4. Step 4: Simplify right side
    12,734,264,472x = 750,948,884,243,686,096,896
  5. Step 5: Solve for x
    x = 750,948,884,243,686,096,896/12,734,264,472
  6. Step 6: Final answer
    x = 58,970,730,967.22

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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.