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Finding the Third Proportional to 6,885,191 and 10,416,341

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Solution

The third proportional to 6,885,191 and 10,416,341 is: 15,758,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885,191 : 10,416,341 = 10,416,341 : x
  2. Step 2: Convert to fraction form
    6,885,191/10,416,341 = 10,416,341/x
  3. Step 3: Cross multiply
    6,885,191x = 10,416,341 × 10,416,341
  4. Step 4: Simplify right side
    6,885,191x = 108,500,159,828,281
  5. Step 5: Solve for x
    x = 108,500,159,828,281/6,885,191
  6. Step 6: Final answer
    x = 15,758,482.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.