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Finding the Third Proportional to 433,798,110 and 660,861,612

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Solution

The third proportional to 433,798,110 and 660,861,612 is: 1,006,777,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,798,110 : 660,861,612 = 660,861,612 : x
  2. Step 2: Convert to fraction form
    433,798,110/660,861,612 = 660,861,612/x
  3. Step 3: Cross multiply
    433,798,110x = 660,861,612 × 660,861,612
  4. Step 4: Simplify right side
    433,798,110x = 436,738,070,215,238,528
  5. Step 5: Solve for x
    x = 436,738,070,215,238,528/433,798,110
  6. Step 6: Final answer
    x = 1,006,777,254.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.