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Finding the Third Proportional to 6,154,748.72 and 9,654,640.17

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Solution

The third proportional to 6,154,748.72 and 9,654,640.17 is: 15,144,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154,748.72 : 9,654,640.17 = 9,654,640.17 : x
  2. Step 2: Convert to fraction form
    6,154,748.72/9,654,640.17 = 9,654,640.17/x
  3. Step 3: Cross multiply
    6,154,748.72x = 9,654,640.17 × 9,654,640.17
  4. Step 4: Simplify right side
    6,154,748.72x = 93,212,076,848,382.53
  5. Step 5: Solve for x
    x = 93,212,076,848,382.53/6,154,748.72
  6. Step 6: Final answer
    x = 15,144,741.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.