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Finding the Third Proportional to 372,588,514,740 and 810,458,392,822

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Solution

The third proportional to 372,588,514,740 and 810,458,392,822 is: 1,762,917,482,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,588,514,740 : 810,458,392,822 = 810,458,392,822 : x
  2. Step 2: Convert to fraction form
    372,588,514,740/810,458,392,822 = 810,458,392,822/x
  3. Step 3: Cross multiply
    372,588,514,740x = 810,458,392,822 × 810,458,392,822
  4. Step 4: Simplify right side
    372,588,514,740x = 656,842,806,495,619,196,125,184
  5. Step 5: Solve for x
    x = 656,842,806,495,619,196,125,184/372,588,514,740
  6. Step 6: Final answer
    x = 1,762,917,482,719.45

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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.