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Finding the Third Proportional to 10,374,496 and 16,668,852

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Solution

The third proportional to 10,374,496 and 16,668,852 is: 26,782,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374,496 : 16,668,852 = 16,668,852 : x
  2. Step 2: Convert to fraction form
    10,374,496/16,668,852 = 16,668,852/x
  3. Step 3: Cross multiply
    10,374,496x = 16,668,852 × 16,668,852
  4. Step 4: Simplify right side
    10,374,496x = 277,850,626,997,904
  5. Step 5: Solve for x
    x = 277,850,626,997,904/10,374,496
  6. Step 6: Final answer
    x = 26,782,084.35

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.