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Finding the Third Proportional to 5,748,210 and 7,992,349

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Solution

The third proportional to 5,748,210 and 7,992,349 is: 11,112,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748,210 : 7,992,349 = 7,992,349 : x
  2. Step 2: Convert to fraction form
    5,748,210/7,992,349 = 7,992,349/x
  3. Step 3: Cross multiply
    5,748,210x = 7,992,349 × 7,992,349
  4. Step 4: Simplify right side
    5,748,210x = 63,877,642,537,801
  5. Step 5: Solve for x
    x = 63,877,642,537,801/5,748,210
  6. Step 6: Final answer
    x = 11,112,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.