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Finding the Third Proportional to 4,051,588 and 8,645,564

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Solution

The third proportional to 4,051,588 and 8,645,564 is: 18,448,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,588 : 8,645,564 = 8,645,564 : x
  2. Step 2: Convert to fraction form
    4,051,588/8,645,564 = 8,645,564/x
  3. Step 3: Cross multiply
    4,051,588x = 8,645,564 × 8,645,564
  4. Step 4: Simplify right side
    4,051,588x = 74,745,776,878,096
  5. Step 5: Solve for x
    x = 74,745,776,878,096/4,051,588
  6. Step 6: Final answer
    x = 18,448,513.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.