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Finding the Third Proportional to 175,755,645 and 382,756,554

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Solution

The third proportional to 175,755,645 and 382,756,554 is: 833,558,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,755,645 : 382,756,554 = 382,756,554 : x
  2. Step 2: Convert to fraction form
    175,755,645/382,756,554 = 382,756,554/x
  3. Step 3: Cross multiply
    175,755,645x = 382,756,554 × 382,756,554
  4. Step 4: Simplify right side
    175,755,645x = 146,502,579,629,954,912
  5. Step 5: Solve for x
    x = 146,502,579,629,954,912/175,755,645
  6. Step 6: Final answer
    x = 833,558,316.89

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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.