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Finding the Third Proportional to 7,661,657 and 11,426,044

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Solution

The third proportional to 7,661,657 and 11,426,044 is: 17,039,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,657 : 11,426,044 = 11,426,044 : x
  2. Step 2: Convert to fraction form
    7,661,657/11,426,044 = 11,426,044/x
  3. Step 3: Cross multiply
    7,661,657x = 11,426,044 × 11,426,044
  4. Step 4: Simplify right side
    7,661,657x = 130,554,481,489,936
  5. Step 5: Solve for x
    x = 130,554,481,489,936/7,661,657
  6. Step 6: Final answer
    x = 17,039,979.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.