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Finding the Third Proportional to 27,213,462,859 and 42,596,501,999

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Solution

The third proportional to 27,213,462,859 and 42,596,501,999 is: 66,675,159,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,213,462,859 : 42,596,501,999 = 42,596,501,999 : x
  2. Step 2: Convert to fraction form
    27,213,462,859/42,596,501,999 = 42,596,501,999/x
  3. Step 3: Cross multiply
    27,213,462,859x = 42,596,501,999 × 42,596,501,999
  4. Step 4: Simplify right side
    27,213,462,859x = 1,814,461,982,550,810,951,680
  5. Step 5: Solve for x
    x = 1,814,461,982,550,810,951,680/27,213,462,859
  6. Step 6: Final answer
    x = 66,675,159,716.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.