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Finding the Third Proportional to 294,786,383.50 and 630,983,247.50

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Solution

The third proportional to 294,786,383.50 and 630,983,247.50 is: 1,350,604,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,786,383.50 : 630,983,247.50 = 630,983,247.50 : x
  2. Step 2: Convert to fraction form
    294,786,383.50/630,983,247.50 = 630,983,247.50/x
  3. Step 3: Cross multiply
    294,786,383.50x = 630,983,247.50 × 630,983,247.50
  4. Step 4: Simplify right side
    294,786,383.50x = 398,139,858,625,646,272
  5. Step 5: Solve for x
    x = 398,139,858,625,646,272/294,786,383.50
  6. Step 6: Final answer
    x = 1,350,604,644.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.