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Finding the Third Proportional to 4,712,436 and 10,176,840

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Solution

The third proportional to 4,712,436 and 10,176,840 is: 21,977,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,436 : 10,176,840 = 10,176,840 : x
  2. Step 2: Convert to fraction form
    4,712,436/10,176,840 = 10,176,840/x
  3. Step 3: Cross multiply
    4,712,436x = 10,176,840 × 10,176,840
  4. Step 4: Simplify right side
    4,712,436x = 103,568,072,385,600
  5. Step 5: Solve for x
    x = 103,568,072,385,600/4,712,436
  6. Step 6: Final answer
    x = 21,977,608.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.