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Finding the Third Proportional to 14,385,894 and 30,823,738.50

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Solution

The third proportional to 14,385,894 and 30,823,738.50 is: 66,044,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385,894 : 30,823,738.50 = 30,823,738.50 : x
  2. Step 2: Convert to fraction form
    14,385,894/30,823,738.50 = 30,823,738.50/x
  3. Step 3: Cross multiply
    14,385,894x = 30,823,738.50 × 30,823,738.50
  4. Step 4: Simplify right side
    14,385,894x = 950,102,855,116,382.25
  5. Step 5: Solve for x
    x = 950,102,855,116,382.25/14,385,894
  6. Step 6: Final answer
    x = 66,044,060.60

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