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Finding the Third Proportional to 5,078,564 and 10,985,457

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Solution

The third proportional to 5,078,564 and 10,985,457 is: 23,762,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078,564 : 10,985,457 = 10,985,457 : x
  2. Step 2: Convert to fraction form
    5,078,564/10,985,457 = 10,985,457/x
  3. Step 3: Cross multiply
    5,078,564x = 10,985,457 × 10,985,457
  4. Step 4: Simplify right side
    5,078,564x = 120,680,265,498,849
  5. Step 5: Solve for x
    x = 120,680,265,498,849/5,078,564
  6. Step 6: Final answer
    x = 23,762,674.94

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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.