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Finding the Third Proportional to 6,651,819 and 14,341,915.13

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Solution

The third proportional to 6,651,819 and 14,341,915.13 is: 30,922,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651,819 : 14,341,915.13 = 14,341,915.13 : x
  2. Step 2: Convert to fraction form
    6,651,819/14,341,915.13 = 14,341,915.13/x
  3. Step 3: Cross multiply
    6,651,819x = 14,341,915.13 × 14,341,915.13
  4. Step 4: Simplify right side
    6,651,819x = 205,690,529,452,703.75
  5. Step 5: Solve for x
    x = 205,690,529,452,703.75/6,651,819
  6. Step 6: Final answer
    x = 30,922,448.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.