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Finding the Third Proportional to 9,710,259.75 and 14,498,898.75

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Solution

The third proportional to 9,710,259.75 and 14,498,898.75 is: 21,649,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710,259.75 : 14,498,898.75 = 14,498,898.75 : x
  2. Step 2: Convert to fraction form
    9,710,259.75/14,498,898.75 = 14,498,898.75/x
  3. Step 3: Cross multiply
    9,710,259.75x = 14,498,898.75 × 14,498,898.75
  4. Step 4: Simplify right side
    9,710,259.75x = 210,218,064,962,751.56
  5. Step 5: Solve for x
    x = 210,218,064,962,751.56/9,710,259.75
  6. Step 6: Final answer
    x = 21,649,067.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.