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Finding the Third Proportional to 797,731,853.25 and 1,225,413,799.88

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Solution

The third proportional to 797,731,853.25 and 1,225,413,799.88 is: 1,882,385,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,731,853.25 : 1,225,413,799.88 = 1,225,413,799.88 : x
  2. Step 2: Convert to fraction form
    797,731,853.25/1,225,413,799.88 = 1,225,413,799.88/x
  3. Step 3: Cross multiply
    797,731,853.25x = 1,225,413,799.88 × 1,225,413,799.88
  4. Step 4: Simplify right side
    797,731,853.25x = 1,501,638,980,924,086,528
  5. Step 5: Solve for x
    x = 1,501,638,980,924,086,528/797,731,853.25
  6. Step 6: Final answer
    x = 1,882,385,634.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.