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Finding the Third Proportional to 8,137,130 and 17,406,778

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Solution

The third proportional to 8,137,130 and 17,406,778 is: 37,236,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,130 : 17,406,778 = 17,406,778 : x
  2. Step 2: Convert to fraction form
    8,137,130/17,406,778 = 17,406,778/x
  3. Step 3: Cross multiply
    8,137,130x = 17,406,778 × 17,406,778
  4. Step 4: Simplify right side
    8,137,130x = 302,995,920,341,284
  5. Step 5: Solve for x
    x = 302,995,920,341,284/8,137,130
  6. Step 6: Final answer
    x = 37,236,214.78

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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.