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Finding the Third Proportional to 442,111,961,886 and 679,138,060,860

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Solution

The third proportional to 442,111,961,886 and 679,138,060,860 is: 1,043,239,146,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,111,961,886 : 679,138,060,860 = 679,138,060,860 : x
  2. Step 2: Convert to fraction form
    442,111,961,886/679,138,060,860 = 679,138,060,860/x
  3. Step 3: Cross multiply
    442,111,961,886x = 679,138,060,860 × 679,138,060,860
  4. Step 4: Simplify right side
    442,111,961,886x = 461,228,505,708,681,033,154,560
  5. Step 5: Solve for x
    x = 461,228,505,708,681,033,154,560/442,111,961,886
  6. Step 6: Final answer
    x = 1,043,239,146,349.11

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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.