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Finding the Third Proportional to 10,448,420 and 24,584,495

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Solution

The third proportional to 10,448,420 and 24,584,495 is: 57,845,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448,420 : 24,584,495 = 24,584,495 : x
  2. Step 2: Convert to fraction form
    10,448,420/24,584,495 = 24,584,495/x
  3. Step 3: Cross multiply
    10,448,420x = 24,584,495 × 24,584,495
  4. Step 4: Simplify right side
    10,448,420x = 604,397,394,405,025
  5. Step 5: Solve for x
    x = 604,397,394,405,025/10,448,420
  6. Step 6: Final answer
    x = 57,845,817.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.