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Finding the Third Proportional to 24,648,265.50 and 53,193,765

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Solution

The third proportional to 24,648,265.50 and 53,193,765 is: 114,798,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,265.50 : 53,193,765 = 53,193,765 : x
  2. Step 2: Convert to fraction form
    24,648,265.50/53,193,765 = 53,193,765/x
  3. Step 3: Cross multiply
    24,648,265.50x = 53,193,765 × 53,193,765
  4. Step 4: Simplify right side
    24,648,265.50x = 2,829,576,634,875,225
  5. Step 5: Solve for x
    x = 2,829,576,634,875,225/24,648,265.50
  6. Step 6: Final answer
    x = 114,798,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.