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Finding the Third Proportional to 7,960,623.75 and 17,411,748.75

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Solution

The third proportional to 7,960,623.75 and 17,411,748.75 is: 38,083,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960,623.75 : 17,411,748.75 = 17,411,748.75 : x
  2. Step 2: Convert to fraction form
    7,960,623.75/17,411,748.75 = 17,411,748.75/x
  3. Step 3: Cross multiply
    7,960,623.75x = 17,411,748.75 × 17,411,748.75
  4. Step 4: Simplify right side
    7,960,623.75x = 303,168,994,533,126.56
  5. Step 5: Solve for x
    x = 303,168,994,533,126.56/7,960,623.75
  6. Step 6: Final answer
    x = 38,083,572.85

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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.