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Finding the Third Proportional to 52,741,623 and 109,525,470

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Solution

The third proportional to 52,741,623 and 109,525,470 is: 227,445,192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,741,623 : 109,525,470 = 109,525,470 : x
  2. Step 2: Convert to fraction form
    52,741,623/109,525,470 = 109,525,470/x
  3. Step 3: Cross multiply
    52,741,623x = 109,525,470 × 109,525,470
  4. Step 4: Simplify right side
    52,741,623x = 11,995,828,578,720,900
  5. Step 5: Solve for x
    x = 11,995,828,578,720,900/52,741,623
  6. Step 6: Final answer
    x = 227,445,192.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.