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Finding the Third Proportional to 4,553,740 and 9,864,160

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Solution

The third proportional to 4,553,740 and 9,864,160 is: 21,367,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553,740 : 9,864,160 = 9,864,160 : x
  2. Step 2: Convert to fraction form
    4,553,740/9,864,160 = 9,864,160/x
  3. Step 3: Cross multiply
    4,553,740x = 9,864,160 × 9,864,160
  4. Step 4: Simplify right side
    4,553,740x = 97,301,652,505,600
  5. Step 5: Solve for x
    x = 97,301,652,505,600/4,553,740
  6. Step 6: Final answer
    x = 21,367,415.03

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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.