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Finding the Third Proportional to 4,974,341.25 and 10,824,465

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Solution

The third proportional to 4,974,341.25 and 10,824,465 is: 23,554,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974,341.25 : 10,824,465 = 10,824,465 : x
  2. Step 2: Convert to fraction form
    4,974,341.25/10,824,465 = 10,824,465/x
  3. Step 3: Cross multiply
    4,974,341.25x = 10,824,465 × 10,824,465
  4. Step 4: Simplify right side
    4,974,341.25x = 117,169,042,536,225
  5. Step 5: Solve for x
    x = 117,169,042,536,225/4,974,341.25
  6. Step 6: Final answer
    x = 23,554,685.26

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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.