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Finding the Third Proportional to 5,106,341 and 11,063,709

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Solution

The third proportional to 5,106,341 and 11,063,709 is: 23,971,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106,341 : 11,063,709 = 11,063,709 : x
  2. Step 2: Convert to fraction form
    5,106,341/11,063,709 = 11,063,709/x
  3. Step 3: Cross multiply
    5,106,341x = 11,063,709 × 11,063,709
  4. Step 4: Simplify right side
    5,106,341x = 122,405,656,836,681
  5. Step 5: Solve for x
    x = 122,405,656,836,681/5,106,341
  6. Step 6: Final answer
    x = 23,971,304.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.