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Finding the Third Proportional to 5,786,754 and 12,370,710

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Solution

The third proportional to 5,786,754 and 12,370,710 is: 26,445,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,754 : 12,370,710 = 12,370,710 : x
  2. Step 2: Convert to fraction form
    5,786,754/12,370,710 = 12,370,710/x
  3. Step 3: Cross multiply
    5,786,754x = 12,370,710 × 12,370,710
  4. Step 4: Simplify right side
    5,786,754x = 153,034,465,904,100
  5. Step 5: Solve for x
    x = 153,034,465,904,100/5,786,754
  6. Step 6: Final answer
    x = 26,445,649.13

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Why These Related Problems?

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