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Finding the Third Proportional to 15,205,824 and 31,489,582

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Solution

The third proportional to 15,205,824 and 31,489,582 is: 65,211,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205,824 : 31,489,582 = 31,489,582 : x
  2. Step 2: Convert to fraction form
    15,205,824/31,489,582 = 31,489,582/x
  3. Step 3: Cross multiply
    15,205,824x = 31,489,582 × 31,489,582
  4. Step 4: Simplify right side
    15,205,824x = 991,593,774,534,724
  5. Step 5: Solve for x
    x = 991,593,774,534,724/15,205,824
  6. Step 6: Final answer
    x = 65,211,446.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.