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Finding the Third Proportional to 3,740,148 and 8,070,768

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Solution

The third proportional to 3,740,148 and 8,070,768 is: 17,415,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740,148 : 8,070,768 = 8,070,768 : x
  2. Step 2: Convert to fraction form
    3,740,148/8,070,768 = 8,070,768/x
  3. Step 3: Cross multiply
    3,740,148x = 8,070,768 × 8,070,768
  4. Step 4: Simplify right side
    3,740,148x = 65,137,296,109,824
  5. Step 5: Solve for x
    x = 65,137,296,109,824/3,740,148
  6. Step 6: Final answer
    x = 17,415,700.16

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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.