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Finding the Third Proportional to 337,074,842.50 and 738,586,835

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Solution

The third proportional to 337,074,842.50 and 738,586,835 is: 1,618,366,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,074,842.50 : 738,586,835 = 738,586,835 : x
  2. Step 2: Convert to fraction form
    337,074,842.50/738,586,835 = 738,586,835/x
  3. Step 3: Cross multiply
    337,074,842.50x = 738,586,835 × 738,586,835
  4. Step 4: Simplify right side
    337,074,842.50x = 545,510,512,835,317,248
  5. Step 5: Solve for x
    x = 545,510,512,835,317,248/337,074,842.50
  6. Step 6: Final answer
    x = 1,618,366,143.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.