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Finding the Third Proportional to 6,872,269.50 and 10,098,038.25

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Solution

The third proportional to 6,872,269.50 and 10,098,038.25 is: 14,837,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872,269.50 : 10,098,038.25 = 10,098,038.25 : x
  2. Step 2: Convert to fraction form
    6,872,269.50/10,098,038.25 = 10,098,038.25/x
  3. Step 3: Cross multiply
    6,872,269.50x = 10,098,038.25 × 10,098,038.25
  4. Step 4: Simplify right side
    6,872,269.50x = 101,970,376,498,463.06
  5. Step 5: Solve for x
    x = 101,970,376,498,463.06/6,872,269.50
  6. Step 6: Final answer
    x = 14,837,947.86

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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.