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Finding the Third Proportional to 7,562,142 and 11,623,545

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Solution

The third proportional to 7,562,142 and 11,623,545 is: 17,866,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562,142 : 11,623,545 = 11,623,545 : x
  2. Step 2: Convert to fraction form
    7,562,142/11,623,545 = 11,623,545/x
  3. Step 3: Cross multiply
    7,562,142x = 11,623,545 × 11,623,545
  4. Step 4: Simplify right side
    7,562,142x = 135,106,798,367,025
  5. Step 5: Solve for x
    x = 135,106,798,367,025/7,562,142
  6. Step 6: Final answer
    x = 17,866,207.53

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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.