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Finding the Third Proportional to 3,123,569 and 6,845,413

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Solution

The third proportional to 3,123,569 and 6,845,413 is: 15,001,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123,569 : 6,845,413 = 6,845,413 : x
  2. Step 2: Convert to fraction form
    3,123,569/6,845,413 = 6,845,413/x
  3. Step 3: Cross multiply
    3,123,569x = 6,845,413 × 6,845,413
  4. Step 4: Simplify right side
    3,123,569x = 46,859,679,140,569
  5. Step 5: Solve for x
    x = 46,859,679,140,569/3,123,569
  6. Step 6: Final answer
    x = 15,001,967.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.