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Finding the Third Proportional to 19,277,710 and 41,729,486

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Solution

The third proportional to 19,277,710 and 41,729,486 is: 90,329,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,277,710 : 41,729,486 = 41,729,486 : x
  2. Step 2: Convert to fraction form
    19,277,710/41,729,486 = 41,729,486/x
  3. Step 3: Cross multiply
    19,277,710x = 41,729,486 × 41,729,486
  4. Step 4: Simplify right side
    19,277,710x = 1,741,350,001,824,196
  5. Step 5: Solve for x
    x = 1,741,350,001,824,196/19,277,710
  6. Step 6: Final answer
    x = 90,329,712.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.