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Finding the Third Proportional to 10,136,574 and 20,991,742.50

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Solution

The third proportional to 10,136,574 and 20,991,742.50 is: 43,471,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,574 : 20,991,742.50 = 20,991,742.50 : x
  2. Step 2: Convert to fraction form
    10,136,574/20,991,742.50 = 20,991,742.50/x
  3. Step 3: Cross multiply
    10,136,574x = 20,991,742.50 × 20,991,742.50
  4. Step 4: Simplify right side
    10,136,574x = 440,653,253,186,306.25
  5. Step 5: Solve for x
    x = 440,653,253,186,306.25/10,136,574
  6. Step 6: Final answer
    x = 43,471,616.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.