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Finding the Third Proportional to 10,257,583 and 16,242,637

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Solution

The third proportional to 10,257,583 and 16,242,637 is: 25,719,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,583 : 16,242,637 = 16,242,637 : x
  2. Step 2: Convert to fraction form
    10,257,583/16,242,637 = 16,242,637/x
  3. Step 3: Cross multiply
    10,257,583x = 16,242,637 × 16,242,637
  4. Step 4: Simplify right side
    10,257,583x = 263,823,256,713,769
  5. Step 5: Solve for x
    x = 263,823,256,713,769/10,257,583
  6. Step 6: Final answer
    x = 25,719,826.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.