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Finding the Third Proportional to 27,922,610 and 42,904,623

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Solution

The third proportional to 27,922,610 and 42,904,623 is: 65,925,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922,610 : 42,904,623 = 42,904,623 : x
  2. Step 2: Convert to fraction form
    27,922,610/42,904,623 = 42,904,623/x
  3. Step 3: Cross multiply
    27,922,610x = 42,904,623 × 42,904,623
  4. Step 4: Simplify right side
    27,922,610x = 1,840,806,674,772,129
  5. Step 5: Solve for x
    x = 1,840,806,674,772,129/27,922,610
  6. Step 6: Final answer
    x = 65,925,308.37

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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.