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Finding the Third Proportional to 24,704,032.50 and 53,660,775

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Solution

The third proportional to 24,704,032.50 and 53,660,775 is: 116,559,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704,032.50 : 53,660,775 = 53,660,775 : x
  2. Step 2: Convert to fraction form
    24,704,032.50/53,660,775 = 53,660,775/x
  3. Step 3: Cross multiply
    24,704,032.50x = 53,660,775 × 53,660,775
  4. Step 4: Simplify right side
    24,704,032.50x = 2,879,478,773,600,625
  5. Step 5: Solve for x
    x = 2,879,478,773,600,625/24,704,032.50
  6. Step 6: Final answer
    x = 116,559,058.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.