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Finding the Third Proportional to 3,157,021.69 and 6,806,821.50

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Solution

The third proportional to 3,157,021.69 and 6,806,821.50 is: 14,676,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,021.69 : 6,806,821.50 = 6,806,821.50 : x
  2. Step 2: Convert to fraction form
    3,157,021.69/6,806,821.50 = 6,806,821.50/x
  3. Step 3: Cross multiply
    3,157,021.69x = 6,806,821.50 × 6,806,821.50
  4. Step 4: Simplify right side
    3,157,021.69x = 46,332,818,932,862.25
  5. Step 5: Solve for x
    x = 46,332,818,932,862.25/3,157,021.69
  6. Step 6: Final answer
    x = 14,676,116.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.