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Finding the Third Proportional to 6,098,146 and 8,964,531

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Solution

The third proportional to 6,098,146 and 8,964,531 is: 13,178,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098,146 : 8,964,531 = 8,964,531 : x
  2. Step 2: Convert to fraction form
    6,098,146/8,964,531 = 8,964,531/x
  3. Step 3: Cross multiply
    6,098,146x = 8,964,531 × 8,964,531
  4. Step 4: Simplify right side
    6,098,146x = 80,362,816,049,961
  5. Step 5: Solve for x
    x = 80,362,816,049,961/6,098,146
  6. Step 6: Final answer
    x = 13,178,237.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.