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Finding the Third Proportional to 6,772,254 and 14,462,968

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Solution

The third proportional to 6,772,254 and 14,462,968 is: 30,887,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772,254 : 14,462,968 = 14,462,968 : x
  2. Step 2: Convert to fraction form
    6,772,254/14,462,968 = 14,462,968/x
  3. Step 3: Cross multiply
    6,772,254x = 14,462,968 × 14,462,968
  4. Step 4: Simplify right side
    6,772,254x = 209,177,443,369,024
  5. Step 5: Solve for x
    x = 209,177,443,369,024/6,772,254
  6. Step 6: Final answer
    x = 30,887,418.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.