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Finding the Third Proportional to 6,146,836.88 and 9,020,964.94

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Solution

The third proportional to 6,146,836.88 and 9,020,964.94 is: 13,238,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,836.88 : 9,020,964.94 = 9,020,964.94 : x
  2. Step 2: Convert to fraction form
    6,146,836.88/9,020,964.94 = 9,020,964.94/x
  3. Step 3: Cross multiply
    6,146,836.88x = 9,020,964.94 × 9,020,964.94
  4. Step 4: Simplify right side
    6,146,836.88x = 81,377,808,403,604.38
  5. Step 5: Solve for x
    x = 81,377,808,403,604.38/6,146,836.88
  6. Step 6: Final answer
    x = 13,238,973.16

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