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Finding the Third Proportional to 5,174,284 and 10,884,770

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Solution

The third proportional to 5,174,284 and 10,884,770 is: 22,897,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,284 : 10,884,770 = 10,884,770 : x
  2. Step 2: Convert to fraction form
    5,174,284/10,884,770 = 10,884,770/x
  3. Step 3: Cross multiply
    5,174,284x = 10,884,770 × 10,884,770
  4. Step 4: Simplify right side
    5,174,284x = 118,478,217,952,900
  5. Step 5: Solve for x
    x = 118,478,217,952,900/5,174,284
  6. Step 6: Final answer
    x = 22,897,509.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.