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Finding the Third Proportional to 82,222,953 and 182,829,660

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Solution

The third proportional to 82,222,953 and 182,829,660 is: 406,537,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222,953 : 182,829,660 = 182,829,660 : x
  2. Step 2: Convert to fraction form
    82,222,953/182,829,660 = 182,829,660/x
  3. Step 3: Cross multiply
    82,222,953x = 182,829,660 × 182,829,660
  4. Step 4: Simplify right side
    82,222,953x = 33,426,684,575,715,600
  5. Step 5: Solve for x
    x = 33,426,684,575,715,600/82,222,953
  6. Step 6: Final answer
    x = 406,537,145.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.