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Finding the Third Proportional to 8,021,580.61 and 17,513,099.02

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Solution

The third proportional to 8,021,580.61 and 17,513,099.02 is: 38,235,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,580.61 : 17,513,099.02 = 17,513,099.02 : x
  2. Step 2: Convert to fraction form
    8,021,580.61/17,513,099.02 = 17,513,099.02/x
  3. Step 3: Cross multiply
    8,021,580.61x = 17,513,099.02 × 17,513,099.02
  4. Step 4: Simplify right side
    8,021,580.61x = 306,708,637,131,085.38
  5. Step 5: Solve for x
    x = 306,708,637,131,085.38/8,021,580.61
  6. Step 6: Final answer
    x = 38,235,436.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.