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Finding the Third Proportional to 24,373,841,472 and 33,679,111,833

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Solution

The third proportional to 24,373,841,472 and 33,679,111,833 is: 46,536,881,564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373,841,472 : 33,679,111,833 = 33,679,111,833 : x
  2. Step 2: Convert to fraction form
    24,373,841,472/33,679,111,833 = 33,679,111,833/x
  3. Step 3: Cross multiply
    24,373,841,472x = 33,679,111,833 × 33,679,111,833
  4. Step 4: Simplify right side
    24,373,841,472x = 1,134,282,573,859,720,658,944
  5. Step 5: Solve for x
    x = 1,134,282,573,859,720,658,944/24,373,841,472
  6. Step 6: Final answer
    x = 46,536,881,564.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.