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Finding the Third Proportional to 14,684,460 and 31,494,630

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Solution

The third proportional to 14,684,460 and 31,494,630 is: 67,548,395.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684,460 : 31,494,630 = 31,494,630 : x
  2. Step 2: Convert to fraction form
    14,684,460/31,494,630 = 31,494,630/x
  3. Step 3: Cross multiply
    14,684,460x = 31,494,630 × 31,494,630
  4. Step 4: Simplify right side
    14,684,460x = 991,911,718,836,900
  5. Step 5: Solve for x
    x = 991,911,718,836,900/14,684,460
  6. Step 6: Final answer
    x = 67,548,395.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.