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Finding the Third Proportional to 708,444,913.50 and 1,541,489,575.50

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Solution

The third proportional to 708,444,913.50 and 1,541,489,575.50 is: 3,354,092,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,444,913.50 : 1,541,489,575.50 = 1,541,489,575.50 : x
  2. Step 2: Convert to fraction form
    708,444,913.50/1,541,489,575.50 = 1,541,489,575.50/x
  3. Step 3: Cross multiply
    708,444,913.50x = 1,541,489,575.50 × 1,541,489,575.50
  4. Step 4: Simplify right side
    708,444,913.50x = 2,376,190,111,375,170,048
  5. Step 5: Solve for x
    x = 2,376,190,111,375,170,048/708,444,913.50
  6. Step 6: Final answer
    x = 3,354,092,980.41

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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.