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Finding the Third Proportional to 433,718,953.50 and 660,747,763.50

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Solution

The third proportional to 433,718,953.50 and 660,747,763.50 is: 1,006,614,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,718,953.50 : 660,747,763.50 = 660,747,763.50 : x
  2. Step 2: Convert to fraction form
    433,718,953.50/660,747,763.50 = 660,747,763.50/x
  3. Step 3: Cross multiply
    433,718,953.50x = 660,747,763.50 × 660,747,763.50
  4. Step 4: Simplify right side
    433,718,953.50x = 436,587,606,970,251,904
  5. Step 5: Solve for x
    x = 436,587,606,970,251,904/433,718,953.50
  6. Step 6: Final answer
    x = 1,006,614,083.72

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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.