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Finding the Third Proportional to 9,755,966 and 14,492,523

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Solution

The third proportional to 9,755,966 and 14,492,523 is: 21,528,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755,966 : 14,492,523 = 14,492,523 : x
  2. Step 2: Convert to fraction form
    9,755,966/14,492,523 = 14,492,523/x
  3. Step 3: Cross multiply
    9,755,966x = 14,492,523 × 14,492,523
  4. Step 4: Simplify right side
    9,755,966x = 210,033,222,905,529
  5. Step 5: Solve for x
    x = 210,033,222,905,529/9,755,966
  6. Step 6: Final answer
    x = 21,528,695.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.