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Finding the Third Proportional to 4,851,214.03 and 10,686,767.91

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Solution

The third proportional to 4,851,214.03 and 10,686,767.91 is: 23,541,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,214.03 : 10,686,767.91 = 10,686,767.91 : x
  2. Step 2: Convert to fraction form
    4,851,214.03/10,686,767.91 = 10,686,767.91/x
  3. Step 3: Cross multiply
    4,851,214.03x = 10,686,767.91 × 10,686,767.91
  4. Step 4: Simplify right side
    4,851,214.03x = 114,207,008,282,055.02
  5. Step 5: Solve for x
    x = 114,207,008,282,055.02/4,851,214.03
  6. Step 6: Final answer
    x = 23,541,943.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.