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Finding the Third Proportional to 14,680,242 and 34,539,624

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Solution

The third proportional to 14,680,242 and 34,539,624 is: 81,264,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680,242 : 34,539,624 = 34,539,624 : x
  2. Step 2: Convert to fraction form
    14,680,242/34,539,624 = 34,539,624/x
  3. Step 3: Cross multiply
    14,680,242x = 34,539,624 × 34,539,624
  4. Step 4: Simplify right side
    14,680,242x = 1,192,985,626,061,376
  5. Step 5: Solve for x
    x = 1,192,985,626,061,376/14,680,242
  6. Step 6: Final answer
    x = 81,264,711.17

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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.