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Finding the Third Proportional to 6,005,024 and 9,294,764

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Solution

The third proportional to 6,005,024 and 9,294,764 is: 14,386,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,024 : 9,294,764 = 9,294,764 : x
  2. Step 2: Convert to fraction form
    6,005,024/9,294,764 = 9,294,764/x
  3. Step 3: Cross multiply
    6,005,024x = 9,294,764 × 9,294,764
  4. Step 4: Simplify right side
    6,005,024x = 86,392,637,815,696
  5. Step 5: Solve for x
    x = 86,392,637,815,696/6,005,024
  6. Step 6: Final answer
    x = 14,386,726.48

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