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Finding the Third Proportional to 13,974,480 and 30,409,336

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Solution

The third proportional to 13,974,480 and 30,409,336 is: 66,172,602.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,480 : 30,409,336 = 30,409,336 : x
  2. Step 2: Convert to fraction form
    13,974,480/30,409,336 = 30,409,336/x
  3. Step 3: Cross multiply
    13,974,480x = 30,409,336 × 30,409,336
  4. Step 4: Simplify right side
    13,974,480x = 924,727,715,960,896
  5. Step 5: Solve for x
    x = 924,727,715,960,896/13,974,480
  6. Step 6: Final answer
    x = 66,172,602.91

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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.