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Finding the Third Proportional to 4,548,336 and 9,898,464

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Solution

The third proportional to 4,548,336 and 9,898,464 is: 21,541,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548,336 : 9,898,464 = 9,898,464 : x
  2. Step 2: Convert to fraction form
    4,548,336/9,898,464 = 9,898,464/x
  3. Step 3: Cross multiply
    4,548,336x = 9,898,464 × 9,898,464
  4. Step 4: Simplify right side
    4,548,336x = 97,979,589,559,296
  5. Step 5: Solve for x
    x = 97,979,589,559,296/4,548,336
  6. Step 6: Final answer
    x = 21,541,853.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.