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Finding the Third Proportional to 11,937,306 and 25,576,364

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Solution

The third proportional to 11,937,306 and 25,576,364 is: 54,798,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937,306 : 25,576,364 = 25,576,364 : x
  2. Step 2: Convert to fraction form
    11,937,306/25,576,364 = 25,576,364/x
  3. Step 3: Cross multiply
    11,937,306x = 25,576,364 × 25,576,364
  4. Step 4: Simplify right side
    11,937,306x = 654,150,395,460,496
  5. Step 5: Solve for x
    x = 654,150,395,460,496/11,937,306
  6. Step 6: Final answer
    x = 54,798,829.44

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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.