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Finding the Third Proportional to 14,858,148 and 32,189,472

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Solution

The third proportional to 14,858,148 and 32,189,472 is: 69,736,962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,858,148 : 32,189,472 = 32,189,472 : x
  2. Step 2: Convert to fraction form
    14,858,148/32,189,472 = 32,189,472/x
  3. Step 3: Cross multiply
    14,858,148x = 32,189,472 × 32,189,472
  4. Step 4: Simplify right side
    14,858,148x = 1,036,162,107,638,784
  5. Step 5: Solve for x
    x = 1,036,162,107,638,784/14,858,148
  6. Step 6: Final answer
    x = 69,736,962.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.