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Finding the Third Proportional to 6,315,150 and 13,290,486

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Solution

The third proportional to 6,315,150 and 13,290,486 is: 27,970,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315,150 : 13,290,486 = 13,290,486 : x
  2. Step 2: Convert to fraction form
    6,315,150/13,290,486 = 13,290,486/x
  3. Step 3: Cross multiply
    6,315,150x = 13,290,486 × 13,290,486
  4. Step 4: Simplify right side
    6,315,150x = 176,637,018,116,196
  5. Step 5: Solve for x
    x = 176,637,018,116,196/6,315,150
  6. Step 6: Final answer
    x = 27,970,359.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.