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Finding the Third Proportional to 7,562,092 and 11,623,470

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Solution

The third proportional to 7,562,092 and 11,623,470 is: 17,866,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562,092 : 11,623,470 = 11,623,470 : x
  2. Step 2: Convert to fraction form
    7,562,092/11,623,470 = 11,623,470/x
  3. Step 3: Cross multiply
    7,562,092x = 11,623,470 × 11,623,470
  4. Step 4: Simplify right side
    7,562,092x = 135,105,054,840,900
  5. Step 5: Solve for x
    x = 135,105,054,840,900/7,562,092
  6. Step 6: Final answer
    x = 17,866,095.10

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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.