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Finding the Third Proportional to 10,565,004 and 15,872,742

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Solution

The third proportional to 10,565,004 and 15,872,742 is: 23,847,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565,004 : 15,872,742 = 15,872,742 : x
  2. Step 2: Convert to fraction form
    10,565,004/15,872,742 = 15,872,742/x
  3. Step 3: Cross multiply
    10,565,004x = 15,872,742 × 15,872,742
  4. Step 4: Simplify right side
    10,565,004x = 251,943,938,598,564
  5. Step 5: Solve for x
    x = 251,943,938,598,564/10,565,004
  6. Step 6: Final answer
    x = 23,847,027.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.