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Finding the Third Proportional to 16,484,580 and 24,232,932

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Solution

The third proportional to 16,484,580 and 24,232,932 is: 35,623,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484,580 : 24,232,932 = 24,232,932 : x
  2. Step 2: Convert to fraction form
    16,484,580/24,232,932 = 24,232,932/x
  3. Step 3: Cross multiply
    16,484,580x = 24,232,932 × 24,232,932
  4. Step 4: Simplify right side
    16,484,580x = 587,234,993,316,624
  5. Step 5: Solve for x
    x = 587,234,993,316,624/16,484,580
  6. Step 6: Final answer
    x = 35,623,291.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.