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Finding the Third Proportional to 13,974,560 and 30,409,480

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Solution

The third proportional to 13,974,560 and 30,409,480 is: 66,172,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,560 : 30,409,480 = 30,409,480 : x
  2. Step 2: Convert to fraction form
    13,974,560/30,409,480 = 30,409,480/x
  3. Step 3: Cross multiply
    13,974,560x = 30,409,480 × 30,409,480
  4. Step 4: Simplify right side
    13,974,560x = 924,736,473,870,400
  5. Step 5: Solve for x
    x = 924,736,473,870,400/13,974,560
  6. Step 6: Final answer
    x = 66,172,850.80

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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.