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Finding the Third Proportional to 12,842,106 and 18,802,431

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Solution

The third proportional to 12,842,106 and 18,802,431 is: 27,529,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842,106 : 18,802,431 = 18,802,431 : x
  2. Step 2: Convert to fraction form
    12,842,106/18,802,431 = 18,802,431/x
  3. Step 3: Cross multiply
    12,842,106x = 18,802,431 × 18,802,431
  4. Step 4: Simplify right side
    12,842,106x = 353,531,411,509,761
  5. Step 5: Solve for x
    x = 353,531,411,509,761/12,842,106
  6. Step 6: Final answer
    x = 27,529,083.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.