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Finding the Third Proportional to 6,078,320 and 9,624,864.75

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Solution

The third proportional to 6,078,320 and 9,624,864.75 is: 15,240,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,320 : 9,624,864.75 = 9,624,864.75 : x
  2. Step 2: Convert to fraction form
    6,078,320/9,624,864.75 = 9,624,864.75/x
  3. Step 3: Cross multiply
    6,078,320x = 9,624,864.75 × 9,624,864.75
  4. Step 4: Simplify right side
    6,078,320x = 92,638,021,455,792.56
  5. Step 5: Solve for x
    x = 92,638,021,455,792.56/6,078,320
  6. Step 6: Final answer
    x = 15,240,727.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.