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Finding the Third Proportional to 9,571,758.75 and 14,471,564.06

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Solution

The third proportional to 9,571,758.75 and 14,471,564.06 is: 21,879,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571,758.75 : 14,471,564.06 = 14,471,564.06 : x
  2. Step 2: Convert to fraction form
    9,571,758.75/14,471,564.06 = 14,471,564.06/x
  3. Step 3: Cross multiply
    9,571,758.75x = 14,471,564.06 × 14,471,564.06
  4. Step 4: Simplify right side
    9,571,758.75x = 209,426,166,415,041.50
  5. Step 5: Solve for x
    x = 209,426,166,415,041.50/9,571,758.75
  6. Step 6: Final answer
    x = 21,879,590.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.