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Finding the Third Proportional to 9,768,600 and 14,360,206.50

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Solution

The third proportional to 9,768,600 and 14,360,206.50 is: 21,110,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,600 : 14,360,206.50 = 14,360,206.50 : x
  2. Step 2: Convert to fraction form
    9,768,600/14,360,206.50 = 14,360,206.50/x
  3. Step 3: Cross multiply
    9,768,600x = 14,360,206.50 × 14,360,206.50
  4. Step 4: Simplify right side
    9,768,600x = 206,215,530,722,642.25
  5. Step 5: Solve for x
    x = 206,215,530,722,642.25/9,768,600
  6. Step 6: Final answer
    x = 21,110,039.38

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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.