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Finding the Third Proportional to 47,425,139 and 109,782,359

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Solution

The third proportional to 47,425,139 and 109,782,359 is: 254,130,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425,139 : 109,782,359 = 109,782,359 : x
  2. Step 2: Convert to fraction form
    47,425,139/109,782,359 = 109,782,359/x
  3. Step 3: Cross multiply
    47,425,139x = 109,782,359 × 109,782,359
  4. Step 4: Simplify right side
    47,425,139x = 12,052,166,347,604,880
  5. Step 5: Solve for x
    x = 12,052,166,347,604,880/47,425,139
  6. Step 6: Final answer
    x = 254,130,332.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.