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Finding the Third Proportional to 14,963,574 and 32,164,866

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Solution

The third proportional to 14,963,574 and 32,164,866 is: 69,139,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963,574 : 32,164,866 = 32,164,866 : x
  2. Step 2: Convert to fraction form
    14,963,574/32,164,866 = 32,164,866/x
  3. Step 3: Cross multiply
    14,963,574x = 32,164,866 × 32,164,866
  4. Step 4: Simplify right side
    14,963,574x = 1,034,578,604,797,956
  5. Step 5: Solve for x
    x = 1,034,578,604,797,956/14,963,574
  6. Step 6: Final answer
    x = 69,139,806.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.