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Finding the Third Proportional to 5,786,749 and 12,370,700

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Solution

The third proportional to 5,786,749 and 12,370,700 is: 26,445,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,749 : 12,370,700 = 12,370,700 : x
  2. Step 2: Convert to fraction form
    5,786,749/12,370,700 = 12,370,700/x
  3. Step 3: Cross multiply
    5,786,749x = 12,370,700 × 12,370,700
  4. Step 4: Simplify right side
    5,786,749x = 153,034,218,490,000
  5. Step 5: Solve for x
    x = 153,034,218,490,000/5,786,749
  6. Step 6: Final answer
    x = 26,445,629.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.