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Finding the Third Proportional to 433,718,956.13 and 660,747,767.63

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Solution

The third proportional to 433,718,956.13 and 660,747,767.63 is: 1,006,614,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,718,956.13 : 660,747,767.63 = 660,747,767.63 : x
  2. Step 2: Convert to fraction form
    433,718,956.13/660,747,767.63 = 660,747,767.63/x
  3. Step 3: Cross multiply
    433,718,956.13x = 660,747,767.63 × 660,747,767.63
  4. Step 4: Simplify right side
    433,718,956.13x = 436,587,612,421,420,992
  5. Step 5: Solve for x
    x = 436,587,612,421,420,992/433,718,956.13
  6. Step 6: Final answer
    x = 1,006,614,090.20

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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.