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Finding the Third Proportional to 25,524,021 and 56,007,347.25

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Solution

The third proportional to 25,524,021 and 56,007,347.25 is: 122,896,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524,021 : 56,007,347.25 = 56,007,347.25 : x
  2. Step 2: Convert to fraction form
    25,524,021/56,007,347.25 = 56,007,347.25/x
  3. Step 3: Cross multiply
    25,524,021x = 56,007,347.25 × 56,007,347.25
  4. Step 4: Simplify right side
    25,524,021x = 3,136,822,945,982,082.50
  5. Step 5: Solve for x
    x = 3,136,822,945,982,082.50/25,524,021
  6. Step 6: Final answer
    x = 122,896,895.67

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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.