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Finding the Third Proportional to 202,446,569,646 and 435,360,651,822

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Solution

The third proportional to 202,446,569,646 and 435,360,651,822 is: 936,241,584,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,569,646 : 435,360,651,822 = 435,360,651,822 : x
  2. Step 2: Convert to fraction form
    202,446,569,646/435,360,651,822 = 435,360,651,822/x
  3. Step 3: Cross multiply
    202,446,569,646x = 435,360,651,822 × 435,360,651,822
  4. Step 4: Simplify right side
    202,446,569,646x = 189,538,897,154,876,725,264,384
  5. Step 5: Solve for x
    x = 189,538,897,154,876,725,264,384/202,446,569,646
  6. Step 6: Final answer
    x = 936,241,584,563.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.