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Finding the Third Proportional to 8,070,408 and 17,415,732

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Solution

The third proportional to 8,070,408 and 17,415,732 is: 37,582,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070,408 : 17,415,732 = 17,415,732 : x
  2. Step 2: Convert to fraction form
    8,070,408/17,415,732 = 17,415,732/x
  3. Step 3: Cross multiply
    8,070,408x = 17,415,732 × 17,415,732
  4. Step 4: Simplify right side
    8,070,408x = 303,307,721,095,824
  5. Step 5: Solve for x
    x = 303,307,721,095,824/8,070,408
  6. Step 6: Final answer
    x = 37,582,699.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.