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Finding the Third Proportional to 5,786,642 and 12,370,486

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Solution

The third proportional to 5,786,642 and 12,370,486 is: 26,445,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,642 : 12,370,486 = 12,370,486 : x
  2. Step 2: Convert to fraction form
    5,786,642/12,370,486 = 12,370,486/x
  3. Step 3: Cross multiply
    5,786,642x = 12,370,486 × 12,370,486
  4. Step 4: Simplify right side
    5,786,642x = 153,028,923,876,196
  5. Step 5: Solve for x
    x = 153,028,923,876,196/5,786,642
  6. Step 6: Final answer
    x = 26,445,203.26

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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.