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Finding the Third Proportional to 261,740,957.34 and 567,103,634.44

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Solution

The third proportional to 261,740,957.34 and 567,103,634.44 is: 1,228,720,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,740,957.34 : 567,103,634.44 = 567,103,634.44 : x
  2. Step 2: Convert to fraction form
    261,740,957.34/567,103,634.44 = 567,103,634.44/x
  3. Step 3: Cross multiply
    261,740,957.34x = 567,103,634.44 × 567,103,634.44
  4. Step 4: Simplify right side
    261,740,957.34x = 321,606,532,192,221,632
  5. Step 5: Solve for x
    x = 321,606,532,192,221,632/261,740,957.34
  6. Step 6: Final answer
    x = 1,228,720,699.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.