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Finding the Third Proportional to 7,788,210 and 17,044,608

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Solution

The third proportional to 7,788,210 and 17,044,608 is: 37,302,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,210 : 17,044,608 = 17,044,608 : x
  2. Step 2: Convert to fraction form
    7,788,210/17,044,608 = 17,044,608/x
  3. Step 3: Cross multiply
    7,788,210x = 17,044,608 × 17,044,608
  4. Step 4: Simplify right side
    7,788,210x = 290,518,661,873,664
  5. Step 5: Solve for x
    x = 290,518,661,873,664/7,788,210
  6. Step 6: Final answer
    x = 37,302,366.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.