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Finding the Third Proportional to 181,825,582 and 397,662,740

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Solution

The third proportional to 181,825,582 and 397,662,740 is: 869,710,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,825,582 : 397,662,740 = 397,662,740 : x
  2. Step 2: Convert to fraction form
    181,825,582/397,662,740 = 397,662,740/x
  3. Step 3: Cross multiply
    181,825,582x = 397,662,740 × 397,662,740
  4. Step 4: Simplify right side
    181,825,582x = 158,135,654,784,307,584
  5. Step 5: Solve for x
    x = 158,135,654,784,307,584/181,825,582
  6. Step 6: Final answer
    x = 869,710,703.22

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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.