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Finding the Third Proportional to 4,243,854 and 6,731,013.38

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Solution

The third proportional to 4,243,854 and 6,731,013.38 is: 10,675,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243,854 : 6,731,013.38 = 6,731,013.38 : x
  2. Step 2: Convert to fraction form
    4,243,854/6,731,013.38 = 6,731,013.38/x
  3. Step 3: Cross multiply
    4,243,854x = 6,731,013.38 × 6,731,013.38
  4. Step 4: Simplify right side
    4,243,854x = 45,306,541,054,428.89
  5. Step 5: Solve for x
    x = 45,306,541,054,428.89/4,243,854
  6. Step 6: Final answer
    x = 10,675,801.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.