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Finding the Third Proportional to 11,430,395 and 17,413,566

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Solution

The third proportional to 11,430,395 and 17,413,566 is: 26,528,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430,395 : 17,413,566 = 17,413,566 : x
  2. Step 2: Convert to fraction form
    11,430,395/17,413,566 = 17,413,566/x
  3. Step 3: Cross multiply
    11,430,395x = 17,413,566 × 17,413,566
  4. Step 4: Simplify right side
    11,430,395x = 303,232,280,836,356
  5. Step 5: Solve for x
    x = 303,232,280,836,356/11,430,395
  6. Step 6: Final answer
    x = 26,528,591.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.