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Finding the Third Proportional to 12,178,314 and 26,500,509

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Solution

The third proportional to 12,178,314 and 26,500,509 is: 57,666,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178,314 : 26,500,509 = 26,500,509 : x
  2. Step 2: Convert to fraction form
    12,178,314/26,500,509 = 26,500,509/x
  3. Step 3: Cross multiply
    12,178,314x = 26,500,509 × 26,500,509
  4. Step 4: Simplify right side
    12,178,314x = 702,276,977,259,081
  5. Step 5: Solve for x
    x = 702,276,977,259,081/12,178,314
  6. Step 6: Final answer
    x = 57,666,190.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.