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Finding the Third Proportional to 10,370,824 and 14,938,520

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Solution

The third proportional to 10,370,824 and 14,938,520 is: 21,517,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370,824 : 14,938,520 = 14,938,520 : x
  2. Step 2: Convert to fraction form
    10,370,824/14,938,520 = 14,938,520/x
  3. Step 3: Cross multiply
    10,370,824x = 14,938,520 × 14,938,520
  4. Step 4: Simplify right side
    10,370,824x = 223,159,379,790,400
  5. Step 5: Solve for x
    x = 223,159,379,790,400/10,370,824
  6. Step 6: Final answer
    x = 21,517,998.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.