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Finding the Third Proportional to 12,572,046,912 and 27,376,146,036

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Solution

The third proportional to 12,572,046,912 and 27,376,146,036 is: 59,612,676,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572,046,912 : 27,376,146,036 = 27,376,146,036 : x
  2. Step 2: Convert to fraction form
    12,572,046,912/27,376,146,036 = 27,376,146,036/x
  3. Step 3: Cross multiply
    12,572,046,912x = 27,376,146,036 × 27,376,146,036
  4. Step 4: Simplify right side
    12,572,046,912x = 749,453,371,784,398,503,936
  5. Step 5: Solve for x
    x = 749,453,371,784,398,503,936/12,572,046,912
  6. Step 6: Final answer
    x = 59,612,676,999.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.