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Finding the Third Proportional to 9,797,088 and 13,702,861.50

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Solution

The third proportional to 9,797,088 and 13,702,861.50 is: 19,165,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797,088 : 13,702,861.50 = 13,702,861.50 : x
  2. Step 2: Convert to fraction form
    9,797,088/13,702,861.50 = 13,702,861.50/x
  3. Step 3: Cross multiply
    9,797,088x = 13,702,861.50 × 13,702,861.50
  4. Step 4: Simplify right side
    9,797,088x = 187,768,413,288,182.25
  5. Step 5: Solve for x
    x = 187,768,413,288,182.25/9,797,088
  6. Step 6: Final answer
    x = 19,165,737.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.