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Finding the Third Proportional to 5,681,256.75 and 8,814,974.06

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Solution

The third proportional to 5,681,256.75 and 8,814,974.06 is: 13,677,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681,256.75 : 8,814,974.06 = 8,814,974.06 : x
  2. Step 2: Convert to fraction form
    5,681,256.75/8,814,974.06 = 8,814,974.06/x
  3. Step 3: Cross multiply
    5,681,256.75x = 8,814,974.06 × 8,814,974.06
  4. Step 4: Simplify right side
    5,681,256.75x = 77,703,767,722,547.75
  5. Step 5: Solve for x
    x = 77,703,767,722,547.75/5,681,256.75
  6. Step 6: Final answer
    x = 13,677,214.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.