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Finding the Third Proportional to 5,030,992.94 and 7,845,425.13

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Solution

The third proportional to 5,030,992.94 and 7,845,425.13 is: 12,234,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030,992.94 : 7,845,425.13 = 7,845,425.13 : x
  2. Step 2: Convert to fraction form
    5,030,992.94/7,845,425.13 = 7,845,425.13/x
  3. Step 3: Cross multiply
    5,030,992.94x = 7,845,425.13 × 7,845,425.13
  4. Step 4: Simplify right side
    5,030,992.94x = 61,550,695,391,981.27
  5. Step 5: Solve for x
    x = 61,550,695,391,981.27/5,030,992.94
  6. Step 6: Final answer
    x = 12,234,303.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.