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Finding the Third Proportional to 382,111,568 and 829,098,304

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Solution

The third proportional to 382,111,568 and 829,098,304 is: 1,798,961,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,111,568 : 829,098,304 = 829,098,304 : x
  2. Step 2: Convert to fraction form
    382,111,568/829,098,304 = 829,098,304/x
  3. Step 3: Cross multiply
    382,111,568x = 829,098,304 × 829,098,304
  4. Step 4: Simplify right side
    382,111,568x = 687,403,997,695,676,416
  5. Step 5: Solve for x
    x = 687,403,997,695,676,416/382,111,568
  6. Step 6: Final answer
    x = 1,798,961,495.18

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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.