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Finding the Third Proportional to 5,845,014 and 9,171,369

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Solution

The third proportional to 5,845,014 and 9,171,369 is: 14,390,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845,014 : 9,171,369 = 9,171,369 : x
  2. Step 2: Convert to fraction form
    5,845,014/9,171,369 = 9,171,369/x
  3. Step 3: Cross multiply
    5,845,014x = 9,171,369 × 9,171,369
  4. Step 4: Simplify right side
    5,845,014x = 84,114,009,334,161
  5. Step 5: Solve for x
    x = 84,114,009,334,161/5,845,014
  6. Step 6: Final answer
    x = 14,390,728.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.