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Finding the Third Proportional to 19,859,953.78 and 42,855,032.81

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Solution

The third proportional to 19,859,953.78 and 42,855,032.81 is: 92,475,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859,953.78 : 42,855,032.81 = 42,855,032.81 : x
  2. Step 2: Convert to fraction form
    19,859,953.78/42,855,032.81 = 42,855,032.81/x
  3. Step 3: Cross multiply
    19,859,953.78x = 42,855,032.81 × 42,855,032.81
  4. Step 4: Simplify right side
    19,859,953.78x = 1,836,553,837,360,451.75
  5. Step 5: Solve for x
    x = 1,836,553,837,360,451.75/19,859,953.78
  6. Step 6: Final answer
    x = 92,475,232.20

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Why These Related Problems?

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