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Finding the Third Proportional to 509,787,363 and 787,200,903.75

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Solution

The third proportional to 509,787,363 and 787,200,903.75 is: 1,215,575,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,787,363 : 787,200,903.75 = 787,200,903.75 : x
  2. Step 2: Convert to fraction form
    509,787,363/787,200,903.75 = 787,200,903.75/x
  3. Step 3: Cross multiply
    509,787,363x = 787,200,903.75 × 787,200,903.75
  4. Step 4: Simplify right side
    509,787,363x = 619,685,262,864,816,768
  5. Step 5: Solve for x
    x = 619,685,262,864,816,768/509,787,363
  6. Step 6: Final answer
    x = 1,215,575,959.39

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