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Finding the Third Proportional to 7,788,208.50 and 17,044,614

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Solution

The third proportional to 7,788,208.50 and 17,044,614 is: 37,302,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788,208.50 : 17,044,614 = 17,044,614 : x
  2. Step 2: Convert to fraction form
    7,788,208.50/17,044,614 = 17,044,614/x
  3. Step 3: Cross multiply
    7,788,208.50x = 17,044,614 × 17,044,614
  4. Step 4: Simplify right side
    7,788,208.50x = 290,518,866,408,996
  5. Step 5: Solve for x
    x = 290,518,866,408,996/7,788,208.50
  6. Step 6: Final answer
    x = 37,302,399.70

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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.