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Finding the Third Proportional to 7,581,252 and 17,896,764

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Solution

The third proportional to 7,581,252 and 17,896,764 is: 42,248,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,252 : 17,896,764 = 17,896,764 : x
  2. Step 2: Convert to fraction form
    7,581,252/17,896,764 = 17,896,764/x
  3. Step 3: Cross multiply
    7,581,252x = 17,896,764 × 17,896,764
  4. Step 4: Simplify right side
    7,581,252x = 320,294,161,671,696
  5. Step 5: Solve for x
    x = 320,294,161,671,696/7,581,252
  6. Step 6: Final answer
    x = 42,248,188.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.