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Finding the Third Proportional to 372,588,527,142 and 810,458,416,764

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Solution

The third proportional to 372,588,527,142 and 810,458,416,764 is: 1,762,917,528,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,588,527,142 : 810,458,416,764 = 810,458,416,764 : x
  2. Step 2: Convert to fraction form
    372,588,527,142/810,458,416,764 = 810,458,416,764/x
  3. Step 3: Cross multiply
    372,588,527,142x = 810,458,416,764 × 810,458,416,764
  4. Step 4: Simplify right side
    372,588,527,142x = 656,842,845,303,609,558,564,864
  5. Step 5: Solve for x
    x = 656,842,845,303,609,558,564,864/372,588,527,142
  6. Step 6: Final answer
    x = 1,762,917,528,196.66

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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.