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Finding the Third Proportional to 6,875,496 and 14,974,416

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Solution

The third proportional to 6,875,496 and 14,974,416 is: 32,613,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,496 : 14,974,416 = 14,974,416 : x
  2. Step 2: Convert to fraction form
    6,875,496/14,974,416 = 14,974,416/x
  3. Step 3: Cross multiply
    6,875,496x = 14,974,416 × 14,974,416
  4. Step 4: Simplify right side
    6,875,496x = 224,233,134,541,056
  5. Step 5: Solve for x
    x = 224,233,134,541,056/6,875,496
  6. Step 6: Final answer
    x = 32,613,375.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.