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Finding the Third Proportional to 14,385,823 and 30,823,597

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Solution

The third proportional to 14,385,823 and 30,823,597 is: 66,043,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385,823 : 30,823,597 = 30,823,597 : x
  2. Step 2: Convert to fraction form
    14,385,823/30,823,597 = 30,823,597/x
  3. Step 3: Cross multiply
    14,385,823x = 30,823,597 × 30,823,597
  4. Step 4: Simplify right side
    14,385,823x = 950,094,132,018,409
  5. Step 5: Solve for x
    x = 950,094,132,018,409/14,385,823
  6. Step 6: Final answer
    x = 66,043,780.19

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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.