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Finding the Third Proportional to 15,671,870 and 23,744,824

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Solution

The third proportional to 15,671,870 and 23,744,824 is: 35,976,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671,870 : 23,744,824 = 23,744,824 : x
  2. Step 2: Convert to fraction form
    15,671,870/23,744,824 = 23,744,824/x
  3. Step 3: Cross multiply
    15,671,870x = 23,744,824 × 23,744,824
  4. Step 4: Simplify right side
    15,671,870x = 563,816,666,790,976
  5. Step 5: Solve for x
    x = 563,816,666,790,976/15,671,870
  6. Step 6: Final answer
    x = 35,976,349.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.