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Finding the Third Proportional to 30,082,340 and 65,931,646

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Solution

The third proportional to 30,082,340 and 65,931,646 is: 144,502,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082,340 : 65,931,646 = 65,931,646 : x
  2. Step 2: Convert to fraction form
    30,082,340/65,931,646 = 65,931,646/x
  3. Step 3: Cross multiply
    30,082,340x = 65,931,646 × 65,931,646
  4. Step 4: Simplify right side
    30,082,340x = 4,346,981,944,269,316
  5. Step 5: Solve for x
    x = 4,346,981,944,269,316/30,082,340
  6. Step 6: Final answer
    x = 144,502,786.16

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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.