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Finding the Third Proportional to 606,644,329.50 and 1,306,733,701.50

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Solution

The third proportional to 606,644,329.50 and 1,306,733,701.50 is: 2,814,751,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,644,329.50 : 1,306,733,701.50 = 1,306,733,701.50 : x
  2. Step 2: Convert to fraction form
    606,644,329.50/1,306,733,701.50 = 1,306,733,701.50/x
  3. Step 3: Cross multiply
    606,644,329.50x = 1,306,733,701.50 × 1,306,733,701.50
  4. Step 4: Simplify right side
    606,644,329.50x = 1,707,552,966,635,891,200
  5. Step 5: Solve for x
    x = 1,707,552,966,635,891,200/606,644,329.50
  6. Step 6: Final answer
    x = 2,814,751,384.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.