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Finding the Third Proportional to 25,520,383.50 and 56,000,869.50

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Solution

The third proportional to 25,520,383.50 and 56,000,869.50 is: 122,885,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,520,383.50 : 56,000,869.50 = 56,000,869.50 : x
  2. Step 2: Convert to fraction form
    25,520,383.50/56,000,869.50 = 56,000,869.50/x
  3. Step 3: Cross multiply
    25,520,383.50x = 56,000,869.50 × 56,000,869.50
  4. Step 4: Simplify right side
    25,520,383.50x = 3,136,097,384,756,030
  5. Step 5: Solve for x
    x = 3,136,097,384,756,030/25,520,383.50
  6. Step 6: Final answer
    x = 122,885,981.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.