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Finding the Third Proportional to 509,787,366.75 and 787,200,909.38

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Solution

The third proportional to 509,787,366.75 and 787,200,909.38 is: 1,215,575,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,366.75 : 787,200,909.38 = 787,200,909.38 : x
  2. Step 2: Convert to fraction form
    509,787,366.75/787,200,909.38 = 787,200,909.38/x
  3. Step 3: Cross multiply
    509,787,366.75x = 787,200,909.38 × 787,200,909.38
  4. Step 4: Simplify right side
    509,787,366.75x = 619,685,271,720,827,008
  5. Step 5: Solve for x
    x = 619,685,271,720,827,008/509,787,366.75
  6. Step 6: Final answer
    x = 1,215,575,967.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.