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Finding the Third Proportional to 5,999,776 and 12,942,464

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Solution

The third proportional to 5,999,776 and 12,942,464 is: 27,918,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999,776 : 12,942,464 = 12,942,464 : x
  2. Step 2: Convert to fraction form
    5,999,776/12,942,464 = 12,942,464/x
  3. Step 3: Cross multiply
    5,999,776x = 12,942,464 × 12,942,464
  4. Step 4: Simplify right side
    5,999,776x = 167,507,374,391,296
  5. Step 5: Solve for x
    x = 167,507,374,391,296/5,999,776
  6. Step 6: Final answer
    x = 27,918,938.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.