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Finding the Third Proportional to 8,415,708 and 18,406,053

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Solution

The third proportional to 8,415,708 and 18,406,053 is: 40,256,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,708 : 18,406,053 = 18,406,053 : x
  2. Step 2: Convert to fraction form
    8,415,708/18,406,053 = 18,406,053/x
  3. Step 3: Cross multiply
    8,415,708x = 18,406,053 × 18,406,053
  4. Step 4: Simplify right side
    8,415,708x = 338,782,787,038,809
  5. Step 5: Solve for x
    x = 338,782,787,038,809/8,415,708
  6. Step 6: Final answer
    x = 40,256,005.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.