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Finding the Third Proportional to 7,025,936.84 and 16,264,032.71

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Solution

The third proportional to 7,025,936.84 and 16,264,032.71 is: 37,648,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025,936.84 : 16,264,032.71 = 16,264,032.71 : x
  2. Step 2: Convert to fraction form
    7,025,936.84/16,264,032.71 = 16,264,032.71/x
  3. Step 3: Cross multiply
    7,025,936.84x = 16,264,032.71 × 16,264,032.71
  4. Step 4: Simplify right side
    7,025,936.84x = 264,518,760,149,483.34
  5. Step 5: Solve for x
    x = 264,518,760,149,483.34/7,025,936.84
  6. Step 6: Final answer
    x = 37,648,895.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.