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Finding the Third Proportional to 5,671,176.75 and 12,444,601.50

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Solution

The third proportional to 5,671,176.75 and 12,444,601.50 is: 27,307,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,176.75 : 12,444,601.50 = 12,444,601.50 : x
  2. Step 2: Convert to fraction form
    5,671,176.75/12,444,601.50 = 12,444,601.50/x
  3. Step 3: Cross multiply
    5,671,176.75x = 12,444,601.50 × 12,444,601.50
  4. Step 4: Simplify right side
    5,671,176.75x = 154,868,106,493,802.25
  5. Step 5: Solve for x
    x = 154,868,106,493,802.25/5,671,176.75
  6. Step 6: Final answer
    x = 27,307,931.55

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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.