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Finding the Third Proportional to 6,005,648 and 9,307,101

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Solution

The third proportional to 6,005,648 and 9,307,101 is: 14,423,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,648 : 9,307,101 = 9,307,101 : x
  2. Step 2: Convert to fraction form
    6,005,648/9,307,101 = 9,307,101/x
  3. Step 3: Cross multiply
    6,005,648x = 9,307,101 × 9,307,101
  4. Step 4: Simplify right side
    6,005,648x = 86,622,129,024,201
  5. Step 5: Solve for x
    x = 86,622,129,024,201/6,005,648
  6. Step 6: Final answer
    x = 14,423,444.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.