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Finding the Third Proportional to 24,574,236 and 53,237,614.50

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Solution

The third proportional to 24,574,236 and 53,237,614.50 is: 115,333,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574,236 : 53,237,614.50 = 53,237,614.50 : x
  2. Step 2: Convert to fraction form
    24,574,236/53,237,614.50 = 53,237,614.50/x
  3. Step 3: Cross multiply
    24,574,236x = 53,237,614.50 × 53,237,614.50
  4. Step 4: Simplify right side
    24,574,236x = 2,834,243,597,650,610
  5. Step 5: Solve for x
    x = 2,834,243,597,650,610/24,574,236
  6. Step 6: Final answer
    x = 115,333,945.59

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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.