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Finding the Third Proportional to 6,466,153 and 10,776,463.75

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Solution

The third proportional to 6,466,153 and 10,776,463.75 is: 17,960,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,153 : 10,776,463.75 = 10,776,463.75 : x
  2. Step 2: Convert to fraction form
    6,466,153/10,776,463.75 = 10,776,463.75/x
  3. Step 3: Cross multiply
    6,466,153x = 10,776,463.75 × 10,776,463.75
  4. Step 4: Simplify right side
    6,466,153x = 116,132,170,955,064.06
  5. Step 5: Solve for x
    x = 116,132,170,955,064.06/6,466,153
  6. Step 6: Final answer
    x = 17,960,009.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.