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Finding the Third Proportional to 14,782,017.38 and 31,606,894.13

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Solution

The third proportional to 14,782,017.38 and 31,606,894.13 is: 67,581,828.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782,017.38 : 31,606,894.13 = 31,606,894.13 : x
  2. Step 2: Convert to fraction form
    14,782,017.38/31,606,894.13 = 31,606,894.13/x
  3. Step 3: Cross multiply
    14,782,017.38x = 31,606,894.13 × 31,606,894.13
  4. Step 4: Simplify right side
    14,782,017.38x = 998,995,756,228,959.50
  5. Step 5: Solve for x
    x = 998,995,756,228,959.50/14,782,017.38
  6. Step 6: Final answer
    x = 67,581,828.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.