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Finding the Third Proportional to 5,827,680 and 12,365,460

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Solution

The third proportional to 5,827,680 and 12,365,460 is: 26,237,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827,680 : 12,365,460 = 12,365,460 : x
  2. Step 2: Convert to fraction form
    5,827,680/12,365,460 = 12,365,460/x
  3. Step 3: Cross multiply
    5,827,680x = 12,365,460 × 12,365,460
  4. Step 4: Simplify right side
    5,827,680x = 152,904,601,011,600
  5. Step 5: Solve for x
    x = 152,904,601,011,600/5,827,680
  6. Step 6: Final answer
    x = 26,237,645.34

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.