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Finding the Third Proportional to 652,986,786.52 and 998,471,417.63

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Solution

The third proportional to 652,986,786.52 and 998,471,417.63 is: 1,526,746,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,986,786.52 : 998,471,417.63 = 998,471,417.63 : x
  2. Step 2: Convert to fraction form
    652,986,786.52/998,471,417.63 = 998,471,417.63/x
  3. Step 3: Cross multiply
    652,986,786.52x = 998,471,417.63 × 998,471,417.63
  4. Step 4: Simplify right side
    652,986,786.52x = 996,945,171,814,077,184
  5. Step 5: Solve for x
    x = 996,945,171,814,077,184/652,986,786.52
  6. Step 6: Final answer
    x = 1,526,746,317.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.