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Finding the Third Proportional to 4,051,642 and 6,180,364

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Solution

The third proportional to 4,051,642 and 6,180,364 is: 9,427,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,642 : 6,180,364 = 6,180,364 : x
  2. Step 2: Convert to fraction form
    4,051,642/6,180,364 = 6,180,364/x
  3. Step 3: Cross multiply
    4,051,642x = 6,180,364 × 6,180,364
  4. Step 4: Simplify right side
    4,051,642x = 38,196,899,172,496
  5. Step 5: Solve for x
    x = 38,196,899,172,496/4,051,642
  6. Step 6: Final answer
    x = 9,427,510.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.