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Finding the Third Proportional to 4,553,742 and 9,864,164

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Solution

The third proportional to 4,553,742 and 9,864,164 is: 21,367,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553,742 : 9,864,164 = 9,864,164 : x
  2. Step 2: Convert to fraction form
    4,553,742/9,864,164 = 9,864,164/x
  3. Step 3: Cross multiply
    4,553,742x = 9,864,164 × 9,864,164
  4. Step 4: Simplify right side
    4,553,742x = 97,301,731,418,896
  5. Step 5: Solve for x
    x = 97,301,731,418,896/4,553,742
  6. Step 6: Final answer
    x = 21,367,422.97

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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.