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Finding the Third Proportional to 33,124,742 and 72,390,526

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Solution

The third proportional to 33,124,742 and 72,390,526 is: 158,201,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124,742 : 72,390,526 = 72,390,526 : x
  2. Step 2: Convert to fraction form
    33,124,742/72,390,526 = 72,390,526/x
  3. Step 3: Cross multiply
    33,124,742x = 72,390,526 × 72,390,526
  4. Step 4: Simplify right side
    33,124,742x = 5,240,388,254,556,676
  5. Step 5: Solve for x
    x = 5,240,388,254,556,676/33,124,742
  6. Step 6: Final answer
    x = 158,201,632.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.