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Finding the Third Proportional to 475,825,919 and 727,415,235

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Solution

The third proportional to 475,825,919 and 727,415,235 is: 1,112,030,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,919 : 727,415,235 = 727,415,235 : x
  2. Step 2: Convert to fraction form
    475,825,919/727,415,235 = 727,415,235/x
  3. Step 3: Cross multiply
    475,825,919x = 727,415,235 × 727,415,235
  4. Step 4: Simplify right side
    475,825,919x = 529,132,924,110,105,216
  5. Step 5: Solve for x
    x = 529,132,924,110,105,216/475,825,919
  6. Step 6: Final answer
    x = 1,112,030,477.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.