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Finding the Third Proportional to 10,370,826 and 14,938,523

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Solution

The third proportional to 10,370,826 and 14,938,523 is: 21,518,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370,826 : 14,938,523 = 14,938,523 : x
  2. Step 2: Convert to fraction form
    10,370,826/14,938,523 = 14,938,523/x
  3. Step 3: Cross multiply
    10,370,826x = 14,938,523 × 14,938,523
  4. Step 4: Simplify right side
    10,370,826x = 223,159,469,421,529
  5. Step 5: Solve for x
    x = 223,159,469,421,529/10,370,826
  6. Step 6: Final answer
    x = 21,518,003.43

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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.