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Finding the Third Proportional to 130,443,617 and 284,324,770

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Solution

The third proportional to 130,443,617 and 284,324,770 is: 619,735,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,443,617 : 284,324,770 = 284,324,770 : x
  2. Step 2: Convert to fraction form
    130,443,617/284,324,770 = 284,324,770/x
  3. Step 3: Cross multiply
    130,443,617x = 284,324,770 × 284,324,770
  4. Step 4: Simplify right side
    130,443,617x = 80,840,574,835,552,896
  5. Step 5: Solve for x
    x = 80,840,574,835,552,896/130,443,617
  6. Step 6: Final answer
    x = 619,735,765.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.