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Finding the Third Proportional to 168,590,635,052 and 364,051,693,468

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Solution

The third proportional to 168,590,635,052 and 364,051,693,468 is: 786,126,913,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,590,635,052 : 364,051,693,468 = 364,051,693,468 : x
  2. Step 2: Convert to fraction form
    168,590,635,052/364,051,693,468 = 364,051,693,468/x
  3. Step 3: Cross multiply
    168,590,635,052x = 364,051,693,468 × 364,051,693,468
  4. Step 4: Simplify right side
    168,590,635,052x = 132,533,635,516,918,640,148,480
  5. Step 5: Solve for x
    x = 132,533,635,516,918,640,148,480/168,590,635,052
  6. Step 6: Final answer
    x = 786,126,913,135.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.