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Finding the Third Proportional to 14,189,454 and 21,638,466

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Solution

The third proportional to 14,189,454 and 21,638,466 is: 32,997,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189,454 : 21,638,466 = 21,638,466 : x
  2. Step 2: Convert to fraction form
    14,189,454/21,638,466 = 21,638,466/x
  3. Step 3: Cross multiply
    14,189,454x = 21,638,466 × 21,638,466
  4. Step 4: Simplify right side
    14,189,454x = 468,223,210,833,156
  5. Step 5: Solve for x
    x = 468,223,210,833,156/14,189,454
  6. Step 6: Final answer
    x = 32,997,972.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.